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Finding the Fourth Proportional to 506,211.56, 698,549.82 and 291,358.52

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Solution

The fourth proportional to 506,211.56, 698,549.82 and 291,358.52 is: 402,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,211.56 : 698,549.82 = 291,358.52 : x
  2. Step 2: Convert to fraction form
    506,211.56/698,549.82 = 291,358.52/x
  3. Step 3: Cross multiply
    506,211.56x = 698,549.82 × 291,358.52
  4. Step 4: Simplify right side
    506,211.56x = 203,528,441,701.47
  5. Step 5: Solve for x
    x = 203,528,441,701.47/506,211.56
  6. Step 6: Final answer
    x = 402,062.02

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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.