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Finding the Fourth Proportional to 584,414.10, 877,657.95 and 451,617.30

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Solution

The fourth proportional to 584,414.10, 877,657.95 and 451,617.30 is: 678,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,414.10 : 877,657.95 = 451,617.30 : x
  2. Step 2: Convert to fraction form
    584,414.10/877,657.95 = 451,617.30/x
  3. Step 3: Cross multiply
    584,414.10x = 877,657.95 × 451,617.30
  4. Step 4: Simplify right side
    584,414.10x = 396,365,513,702.54
  5. Step 5: Solve for x
    x = 396,365,513,702.54/584,414.10
  6. Step 6: Final answer
    x = 678,227.16

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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.