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Finding the Fourth Proportional to 475,311.92, 712,487.79 and 297,943.38

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Solution

The fourth proportional to 475,311.92, 712,487.79 and 297,943.38 is: 446,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,311.92 : 712,487.79 = 297,943.38 : x
  2. Step 2: Convert to fraction form
    475,311.92/712,487.79 = 297,943.38/x
  3. Step 3: Cross multiply
    475,311.92x = 712,487.79 × 297,943.38
  4. Step 4: Simplify right side
    475,311.92x = 212,281,020,361.33
  5. Step 5: Solve for x
    x = 212,281,020,361.33/475,311.92
  6. Step 6: Final answer
    x = 446,614.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.