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Finding the Fourth Proportional to 360,144.92, 497,004.42 and 198,998.56

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Solution

The fourth proportional to 360,144.92, 497,004.42 and 198,998.56 is: 274,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,144.92 : 497,004.42 = 198,998.56 : x
  2. Step 2: Convert to fraction form
    360,144.92/497,004.42 = 198,998.56/x
  3. Step 3: Cross multiply
    360,144.92x = 497,004.42 × 198,998.56
  4. Step 4: Simplify right side
    360,144.92x = 98,903,163,893.64
  5. Step 5: Solve for x
    x = 98,903,163,893.64/360,144.92
  6. Step 6: Final answer
    x = 274,620.46

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.