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Finding the Fourth Proportional to 413,414.60, 620,121.90 and 287,443.40

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Solution

The fourth proportional to 413,414.60, 620,121.90 and 287,443.40 is: 431,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,414.60 : 620,121.90 = 287,443.40 : x
  2. Step 2: Convert to fraction form
    413,414.60/620,121.90 = 287,443.40/x
  3. Step 3: Cross multiply
    413,414.60x = 620,121.90 × 287,443.40
  4. Step 4: Simplify right side
    413,414.60x = 178,249,947,350.46
  5. Step 5: Solve for x
    x = 178,249,947,350.46/413,414.60
  6. Step 6: Final answer
    x = 431,165.10

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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.