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Finding the Fourth Proportional to 410,889.48, 567,016.61 and 229,602.90

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Solution

The fourth proportional to 410,889.48, 567,016.61 and 229,602.90 is: 316,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,889.48 : 567,016.61 = 229,602.90 : x
  2. Step 2: Convert to fraction form
    410,889.48/567,016.61 = 229,602.90/x
  3. Step 3: Cross multiply
    410,889.48x = 567,016.61 × 229,602.90
  4. Step 4: Simplify right side
    410,889.48x = 130,188,656,856.16
  5. Step 5: Solve for x
    x = 130,188,656,856.16/410,889.48
  6. Step 6: Final answer
    x = 316,845.92

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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.