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Finding the Fourth Proportional to 410,659.70, 566,704.35 and 229,374.27

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Solution

The fourth proportional to 410,659.70, 566,704.35 and 229,374.27 is: 316,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,659.70 : 566,704.35 = 229,374.27 : x
  2. Step 2: Convert to fraction form
    410,659.70/566,704.35 = 229,374.27/x
  3. Step 3: Cross multiply
    410,659.70x = 566,704.35 × 229,374.27
  4. Step 4: Simplify right side
    410,659.70x = 129,987,395,440.20
  5. Step 5: Solve for x
    x = 129,987,395,440.20/410,659.70
  6. Step 6: Final answer
    x = 316,533.12

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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.