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Finding the Fourth Proportional to 410,660.25, 566,705.17 and 229,374.76

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Solution

The fourth proportional to 410,660.25, 566,705.17 and 229,374.76 is: 316,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,660.25 : 566,705.17 = 229,374.76 : x
  2. Step 2: Convert to fraction form
    410,660.25/566,705.17 = 229,374.76/x
  3. Step 3: Cross multiply
    410,660.25x = 566,705.17 × 229,374.76
  4. Step 4: Simplify right side
    410,660.25x = 129,987,862,359.51
  5. Step 5: Solve for x
    x = 129,987,862,359.51/410,660.25
  6. Step 6: Final answer
    x = 316,533.83

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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.