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Finding the Fourth Proportional to 410,872.50, 567,030.42 and 229,584.96

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Solution

The fourth proportional to 410,872.50, 567,030.42 and 229,584.96 is: 316,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,872.50 : 567,030.42 = 229,584.96 : x
  2. Step 2: Convert to fraction form
    410,872.50/567,030.42 = 229,584.96/x
  3. Step 3: Cross multiply
    410,872.50x = 567,030.42 × 229,584.96
  4. Step 4: Simplify right side
    410,872.50x = 130,181,656,294.48
  5. Step 5: Solve for x
    x = 130,181,656,294.48/410,872.50
  6. Step 6: Final answer
    x = 316,841.98

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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.