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Finding the Fourth Proportional to 802,103.60, 1,202,572.20 and 328,545.20

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Solution

The fourth proportional to 802,103.60, 1,202,572.20 and 328,545.20 is: 492,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,103.60 : 1,202,572.20 = 328,545.20 : x
  2. Step 2: Convert to fraction form
    802,103.60/1,202,572.20 = 328,545.20/x
  3. Step 3: Cross multiply
    802,103.60x = 1,202,572.20 × 328,545.20
  4. Step 4: Simplify right side
    802,103.60x = 395,099,323,963.44
  5. Step 5: Solve for x
    x = 395,099,323,963.44/802,103.60
  6. Step 6: Final answer
    x = 492,578.92

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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.