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Finding the Fourth Proportional to 410,284.25, 566,220.80 and 229,031.56

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Solution

The fourth proportional to 410,284.25, 566,220.80 and 229,031.56 is: 316,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,284.25 : 566,220.80 = 229,031.56 : x
  2. Step 2: Convert to fraction form
    410,284.25/566,220.80 = 229,031.56/x
  3. Step 3: Cross multiply
    410,284.25x = 566,220.80 × 229,031.56
  4. Step 4: Simplify right side
    410,284.25x = 129,682,433,752.73
  5. Step 5: Solve for x
    x = 129,682,433,752.73/410,284.25
  6. Step 6: Final answer
    x = 316,079.48

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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.