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Finding the Fourth Proportional to 360,144.42, 497,003.73 and 198,998.06

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Solution

The fourth proportional to 360,144.42, 497,003.73 and 198,998.06 is: 274,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,144.42 : 497,003.73 = 198,998.06 : x
  2. Step 2: Convert to fraction form
    360,144.42/497,003.73 = 198,998.06/x
  3. Step 3: Cross multiply
    360,144.42x = 497,003.73 × 198,998.06
  4. Step 4: Simplify right side
    360,144.42x = 98,902,778,082.76
  5. Step 5: Solve for x
    x = 98,902,778,082.76/360,144.42
  6. Step 6: Final answer
    x = 274,619.77

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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.