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Finding the Fourth Proportional to 506,203.56, 698,538.78 and 291,350.52

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Solution

The fourth proportional to 506,203.56, 698,538.78 and 291,350.52 is: 402,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,203.56 : 698,538.78 = 291,350.52 : x
  2. Step 2: Convert to fraction form
    506,203.56/698,538.78 = 291,350.52/x
  3. Step 3: Cross multiply
    506,203.56x = 698,538.78 × 291,350.52
  4. Step 4: Simplify right side
    506,203.56x = 203,519,636,793.17
  5. Step 5: Solve for x
    x = 203,519,636,793.17/506,203.56
  6. Step 6: Final answer
    x = 402,050.98

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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.