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Finding the Fourth Proportional to 410,462.88, 566,433.41 and 229,177.89

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Solution

The fourth proportional to 410,462.88, 566,433.41 and 229,177.89 is: 316,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,462.88 : 566,433.41 = 229,177.89 : x
  2. Step 2: Convert to fraction form
    410,462.88/566,433.41 = 229,177.89/x
  3. Step 3: Cross multiply
    410,462.88x = 566,433.41 × 229,177.89
  4. Step 4: Simplify right side
    410,462.88x = 129,814,012,583.42
  5. Step 5: Solve for x
    x = 129,814,012,583.42/410,462.88
  6. Step 6: Final answer
    x = 316,262.49

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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.