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Finding the Fourth Proportional to 506,145.38, 698,447.34 and 291,250.76

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Solution

The fourth proportional to 506,145.38, 698,447.34 and 291,250.76 is: 401,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,145.38 : 698,447.34 = 291,250.76 : x
  2. Step 2: Convert to fraction form
    506,145.38/698,447.34 = 291,250.76/x
  3. Step 3: Cross multiply
    506,145.38x = 698,447.34 × 291,250.76
  4. Step 4: Simplify right side
    506,145.38x = 203,423,318,594.98
  5. Step 5: Solve for x
    x = 203,423,318,594.98/506,145.38
  6. Step 6: Final answer
    x = 401,906.90

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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.