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Finding the Fourth Proportional to 506,288.52, 698,657.22 and 291,436.20

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Solution

The fourth proportional to 506,288.52, 698,657.22 and 291,436.20 is: 402,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,288.52 : 698,657.22 = 291,436.20 : x
  2. Step 2: Convert to fraction form
    506,288.52/698,657.22 = 291,436.20/x
  3. Step 3: Cross multiply
    506,288.52x = 698,657.22 × 291,436.20
  4. Step 4: Simplify right side
    506,288.52x = 203,614,005,299.36
  5. Step 5: Solve for x
    x = 203,614,005,299.36/506,288.52
  6. Step 6: Final answer
    x = 402,169.90

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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.