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Finding the Fourth Proportional to 664,651.17, 997,302.07 and 411,864.04

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Solution

The fourth proportional to 664,651.17, 997,302.07 and 411,864.04 is: 617,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,651.17 : 997,302.07 = 411,864.04 : x
  2. Step 2: Convert to fraction form
    664,651.17/997,302.07 = 411,864.04/x
  3. Step 3: Cross multiply
    664,651.17x = 997,302.07 × 411,864.04
  4. Step 4: Simplify right side
    664,651.17x = 410,752,861,412.02
  5. Step 5: Solve for x
    x = 410,752,861,412.02/664,651.17
  6. Step 6: Final answer
    x = 617,997.65

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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.