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Finding the Fourth Proportional to 410,743.76, 566,806.14 and 229,419.59

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Solution

The fourth proportional to 410,743.76, 566,806.14 and 229,419.59 is: 316,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,743.76 : 566,806.14 = 229,419.59 : x
  2. Step 2: Convert to fraction form
    410,743.76/566,806.14 = 229,419.59/x
  3. Step 3: Cross multiply
    410,743.76x = 566,806.14 × 229,419.59
  4. Step 4: Simplify right side
    410,743.76x = 130,036,429,414.25
  5. Step 5: Solve for x
    x = 130,036,429,414.25/410,743.76
  6. Step 6: Final answer
    x = 316,587.72

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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.