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Finding the Fourth Proportional to 506,197.38, 698,728.31 and 291,423.05

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Solution

The fourth proportional to 506,197.38, 698,728.31 and 291,423.05 is: 402,265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,197.38 : 698,728.31 = 291,423.05 : x
  2. Step 2: Convert to fraction form
    506,197.38/698,728.31 = 291,423.05/x
  3. Step 3: Cross multiply
    506,197.38x = 698,728.31 × 291,423.05
  4. Step 4: Simplify right side
    506,197.38x = 203,625,533,983.86
  5. Step 5: Solve for x
    x = 203,625,533,983.86/506,197.38
  6. Step 6: Final answer
    x = 402,265.09

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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.