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Finding the Fourth Proportional to 471,684.87, 707,355.99 and 205,381.17

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Solution

The fourth proportional to 471,684.87, 707,355.99 and 205,381.17 is: 307,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,684.87 : 707,355.99 = 205,381.17 : x
  2. Step 2: Convert to fraction form
    471,684.87/707,355.99 = 205,381.17/x
  3. Step 3: Cross multiply
    471,684.87x = 707,355.99 × 205,381.17
  4. Step 4: Simplify right side
    471,684.87x = 145,277,600,832.71
  5. Step 5: Solve for x
    x = 145,277,600,832.71/471,684.87
  6. Step 6: Final answer
    x = 307,997.16

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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.