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Finding the Fourth Proportional to 459,057.60, 687,914.10 and 411,672.60

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Solution

The fourth proportional to 459,057.60, 687,914.10 and 411,672.60 is: 616,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,057.60 : 687,914.10 = 411,672.60 : x
  2. Step 2: Convert to fraction form
    459,057.60/687,914.10 = 411,672.60/x
  3. Step 3: Cross multiply
    459,057.60x = 687,914.10 × 411,672.60
  4. Step 4: Simplify right side
    459,057.60x = 283,195,386,123.66
  5. Step 5: Solve for x
    x = 283,195,386,123.66/459,057.60
  6. Step 6: Final answer
    x = 616,906.00

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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.