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Finding the Fourth Proportional to 410,860.50, 567,013.86 and 229,572.96

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Solution

The fourth proportional to 410,860.50, 567,013.86 and 229,572.96 is: 316,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,860.50 : 567,013.86 = 229,572.96 : x
  2. Step 2: Convert to fraction form
    410,860.50/567,013.86 = 229,572.96/x
  3. Step 3: Cross multiply
    410,860.50x = 567,013.86 × 229,572.96
  4. Step 4: Simplify right side
    410,860.50x = 130,171,050,201.23
  5. Step 5: Solve for x
    x = 130,171,050,201.23/410,860.50
  6. Step 6: Final answer
    x = 316,825.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.