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Finding the Fourth Proportional to 459,099.60, 687,977.10 and 411,714.60

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Solution

The fourth proportional to 459,099.60, 687,977.10 and 411,714.60 is: 616,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,099.60 : 687,977.10 = 411,714.60 : x
  2. Step 2: Convert to fraction form
    459,099.60/687,977.10 = 411,714.60/x
  3. Step 3: Cross multiply
    459,099.60x = 687,977.10 × 411,714.60
  4. Step 4: Simplify right side
    459,099.60x = 283,250,216,535.66
  5. Step 5: Solve for x
    x = 283,250,216,535.66/459,099.60
  6. Step 6: Final answer
    x = 616,968.99

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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.