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Finding the Fourth Proportional to 714,787.90, 986,402.85 and 408,869.38

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Solution

The fourth proportional to 714,787.90, 986,402.85 and 408,869.38 is: 564,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,787.90 : 986,402.85 = 408,869.38 : x
  2. Step 2: Convert to fraction form
    714,787.90/986,402.85 = 408,869.38/x
  3. Step 3: Cross multiply
    714,787.90x = 986,402.85 × 408,869.38
  4. Step 4: Simplify right side
    714,787.90x = 403,309,920,106.78
  5. Step 5: Solve for x
    x = 403,309,920,106.78/714,787.90
  6. Step 6: Final answer
    x = 564,237.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.