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Finding the Fourth Proportional to 410,942.73, 567,103.07 and 229,657.69

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Solution

The fourth proportional to 410,942.73, 567,103.07 and 229,657.69 is: 316,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,942.73 : 567,103.07 = 229,657.69 : x
  2. Step 2: Convert to fraction form
    410,942.73/567,103.07 = 229,657.69/x
  3. Step 3: Cross multiply
    410,942.73x = 567,103.07 × 229,657.69
  4. Step 4: Simplify right side
    410,942.73x = 130,239,580,204.50
  5. Step 5: Solve for x
    x = 130,239,580,204.50/410,942.73
  6. Step 6: Final answer
    x = 316,928.79

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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.