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Finding the Fourth Proportional to 410,752.56, 566,818.16 and 229,428.38

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Solution

The fourth proportional to 410,752.56, 566,818.16 and 229,428.38 is: 316,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,752.56 : 566,818.16 = 229,428.38 : x
  2. Step 2: Convert to fraction form
    410,752.56/566,818.16 = 229,428.38/x
  3. Step 3: Cross multiply
    410,752.56x = 566,818.16 × 229,428.38
  4. Step 4: Simplify right side
    410,752.56x = 130,044,172,203.38
  5. Step 5: Solve for x
    x = 130,044,172,203.38/410,752.56
  6. Step 6: Final answer
    x = 316,599.79

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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.