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Finding the Fourth Proportional to 410,294.12, 566,182.86 and 229,017.74

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Solution

The fourth proportional to 410,294.12, 566,182.86 and 229,017.74 is: 316,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,294.12 : 566,182.86 = 229,017.74 : x
  2. Step 2: Convert to fraction form
    410,294.12/566,182.86 = 229,017.74/x
  3. Step 3: Cross multiply
    410,294.12x = 566,182.86 × 229,017.74
  4. Step 4: Simplify right side
    410,294.12x = 129,665,919,023.94
  5. Step 5: Solve for x
    x = 129,665,919,023.94/410,294.12
  6. Step 6: Final answer
    x = 316,031.63

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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.