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Finding the Fourth Proportional to 410,752.76, 566,818.56 and 229,428.59

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Solution

The fourth proportional to 410,752.76, 566,818.56 and 229,428.59 is: 316,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,752.76 : 566,818.56 = 229,428.59 : x
  2. Step 2: Convert to fraction form
    410,752.76/566,818.56 = 229,428.59/x
  3. Step 3: Cross multiply
    410,752.76x = 566,818.56 × 229,428.59
  4. Step 4: Simplify right side
    410,752.76x = 130,044,380,172.54
  5. Step 5: Solve for x
    x = 130,044,380,172.54/410,752.76
  6. Step 6: Final answer
    x = 316,600.14

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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.