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Finding the Fourth Proportional to 458,857.60, 687,614.10 and 411,472.60

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Solution

The fourth proportional to 458,857.60, 687,614.10 and 411,472.60 is: 616,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,857.60 : 687,614.10 = 411,472.60 : x
  2. Step 2: Convert to fraction form
    458,857.60/687,614.10 = 411,472.60/x
  3. Step 3: Cross multiply
    458,857.60x = 687,614.10 × 411,472.60
  4. Step 4: Simplify right side
    458,857.60x = 282,934,361,523.66
  5. Step 5: Solve for x
    x = 282,934,361,523.66/458,857.60
  6. Step 6: Final answer
    x = 616,606.03

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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.