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Finding the Fourth Proportional to 410,882.40, 567,010.80 and 229,597.92

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Solution

The fourth proportional to 410,882.40, 567,010.80 and 229,597.92 is: 316,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,882.40 : 567,010.80 = 229,597.92 : x
  2. Step 2: Convert to fraction form
    410,882.40/567,010.80 = 229,597.92/x
  3. Step 3: Cross multiply
    410,882.40x = 567,010.80 × 229,597.92
  4. Step 4: Simplify right side
    410,882.40x = 130,184,500,297.54
  5. Step 5: Solve for x
    x = 130,184,500,297.54/410,882.40
  6. Step 6: Final answer
    x = 316,841.27

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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.