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Finding the Fourth Proportional to 410,464.88, 566,436.16 and 229,179.90

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Solution

The fourth proportional to 410,464.88, 566,436.16 and 229,179.90 is: 316,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,464.88 : 566,436.16 = 229,179.90 : x
  2. Step 2: Convert to fraction form
    410,464.88/566,436.16 = 229,179.90/x
  3. Step 3: Cross multiply
    410,464.88x = 566,436.16 × 229,179.90
  4. Step 4: Simplify right side
    410,464.88x = 129,815,782,505.18
  5. Step 5: Solve for x
    x = 129,815,782,505.18/410,464.88
  6. Step 6: Final answer
    x = 316,265.26

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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.