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Finding the Fourth Proportional to 360,190.92, 497,093.40 and 199,077.48

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Solution

The fourth proportional to 360,190.92, 497,093.40 and 199,077.48 is: 274,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,190.92 : 497,093.40 = 199,077.48 : x
  2. Step 2: Convert to fraction form
    360,190.92/497,093.40 = 199,077.48/x
  3. Step 3: Cross multiply
    360,190.92x = 497,093.40 × 199,077.48
  4. Step 4: Simplify right side
    360,190.92x = 98,960,101,396.63
  5. Step 5: Solve for x
    x = 98,960,101,396.63/360,190.92
  6. Step 6: Final answer
    x = 274,743.46

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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.