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Finding the Fourth Proportional to 410,713.90, 566,782.78 and 229,425.28

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Solution

The fourth proportional to 410,713.90, 566,782.78 and 229,425.28 is: 316,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,713.90 : 566,782.78 = 229,425.28 : x
  2. Step 2: Convert to fraction form
    410,713.90/566,782.78 = 229,425.28/x
  3. Step 3: Cross multiply
    410,713.90x = 566,782.78 × 229,425.28
  4. Step 4: Simplify right side
    410,713.90x = 130,034,298,000.68
  5. Step 5: Solve for x
    x = 130,034,298,000.68/410,713.90
  6. Step 6: Final answer
    x = 316,605.54

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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.