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Finding the Fourth Proportional to 459,452.60, 687,234.90 and 412,407.80

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Solution

The fourth proportional to 459,452.60, 687,234.90 and 412,407.80 is: 616,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,452.60 : 687,234.90 = 412,407.80 : x
  2. Step 2: Convert to fraction form
    459,452.60/687,234.90 = 412,407.80/x
  3. Step 3: Cross multiply
    459,452.60x = 687,234.90 × 412,407.80
  4. Step 4: Simplify right side
    459,452.60x = 283,421,033,192.22
  5. Step 5: Solve for x
    x = 283,421,033,192.22/459,452.60
  6. Step 6: Final answer
    x = 616,866.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.