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Finding the Fourth Proportional to 458,468.20, 687,702.30 and 411,812.20

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Solution

The fourth proportional to 458,468.20, 687,702.30 and 411,812.20 is: 617,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,468.20 : 687,702.30 = 411,812.20 : x
  2. Step 2: Convert to fraction form
    458,468.20/687,702.30 = 411,812.20/x
  3. Step 3: Cross multiply
    458,468.20x = 687,702.30 × 411,812.20
  4. Step 4: Simplify right side
    458,468.20x = 283,204,197,108.06
  5. Step 5: Solve for x
    x = 283,204,197,108.06/458,468.20
  6. Step 6: Final answer
    x = 617,718.30

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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.