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Finding the Fourth Proportional to 578,865.60, 868,006.80 and 342,280.80

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Solution

The fourth proportional to 578,865.60, 868,006.80 and 342,280.80 is: 513,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,865.60 : 868,006.80 = 342,280.80 : x
  2. Step 2: Convert to fraction form
    578,865.60/868,006.80 = 342,280.80/x
  3. Step 3: Cross multiply
    578,865.60x = 868,006.80 × 342,280.80
  4. Step 4: Simplify right side
    578,865.60x = 297,102,061,909.44
  5. Step 5: Solve for x
    x = 297,102,061,909.44/578,865.60
  6. Step 6: Final answer
    x = 513,248.78

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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.