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Finding the Fourth Proportional to 410,687.34, 566,731.53 and 229,398.42

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Solution

The fourth proportional to 410,687.34, 566,731.53 and 229,398.42 is: 316,560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,687.34 : 566,731.53 = 229,398.42 : x
  2. Step 2: Convert to fraction form
    410,687.34/566,731.53 = 229,398.42/x
  3. Step 3: Cross multiply
    410,687.34x = 566,731.53 × 229,398.42
  4. Step 4: Simplify right side
    410,687.34x = 130,007,317,546.18
  5. Step 5: Solve for x
    x = 130,007,317,546.18/410,687.34
  6. Step 6: Final answer
    x = 316,560.32

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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.