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Finding the Fourth Proportional to 459,434.60, 687,207.90 and 412,389.80

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Solution

The fourth proportional to 459,434.60, 687,207.90 and 412,389.80 is: 616,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,434.60 : 687,207.90 = 412,389.80 : x
  2. Step 2: Convert to fraction form
    459,434.60/687,207.90 = 412,389.80/x
  3. Step 3: Cross multiply
    459,434.60x = 687,207.90 × 412,389.80
  4. Step 4: Simplify right side
    459,434.60x = 283,397,528,439.42
  5. Step 5: Solve for x
    x = 283,397,528,439.42/459,434.60
  6. Step 6: Final answer
    x = 616,839.76

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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.