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Finding the Fourth Proportional to 458,467.20, 687,700.80 and 411,811.20

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Solution

The fourth proportional to 458,467.20, 687,700.80 and 411,811.20 is: 617,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,467.20 : 687,700.80 = 411,811.20 : x
  2. Step 2: Convert to fraction form
    458,467.20/687,700.80 = 411,811.20/x
  3. Step 3: Cross multiply
    458,467.20x = 687,700.80 × 411,811.20
  4. Step 4: Simplify right side
    458,467.20x = 283,202,891,688.96
  5. Step 5: Solve for x
    x = 283,202,891,688.96/458,467.20
  6. Step 6: Final answer
    x = 617,716.80

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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.