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Finding the Fourth Proportional to 410,654.56, 566,686.36 and 229,365.64

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Solution

The fourth proportional to 410,654.56, 566,686.36 and 229,365.64 is: 316,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,654.56 : 566,686.36 = 229,365.64 : x
  2. Step 2: Convert to fraction form
    410,654.56/566,686.36 = 229,365.64/x
  3. Step 3: Cross multiply
    410,654.56x = 566,686.36 × 229,365.64
  4. Step 4: Simplify right side
    410,654.56x = 129,978,379,640.67
  5. Step 5: Solve for x
    x = 129,978,379,640.67/410,654.56
  6. Step 6: Final answer
    x = 316,515.13

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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.