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Finding the Fourth Proportional to 590,414.90, 884,310.15 and 456,862.10

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Solution

The fourth proportional to 590,414.90, 884,310.15 and 456,862.10 is: 684,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,414.90 : 884,310.15 = 456,862.10 : x
  2. Step 2: Convert to fraction form
    590,414.90/884,310.15 = 456,862.10/x
  3. Step 3: Cross multiply
    590,414.90x = 884,310.15 × 456,862.10
  4. Step 4: Simplify right side
    590,414.90x = 404,007,792,180.32
  5. Step 5: Solve for x
    x = 404,007,792,180.32/590,414.90
  6. Step 6: Final answer
    x = 684,277.77

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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.