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Finding the Fourth Proportional to 410,233.17, 566,098.16 and 228,930.87

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Solution

The fourth proportional to 410,233.17, 566,098.16 and 228,930.87 is: 315,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,233.17 : 566,098.16 = 228,930.87 : x
  2. Step 2: Convert to fraction form
    410,233.17/566,098.16 = 228,930.87/x
  3. Step 3: Cross multiply
    410,233.17x = 566,098.16 × 228,930.87
  4. Step 4: Simplify right side
    410,233.17x = 129,597,343,129.55
  5. Step 5: Solve for x
    x = 129,597,343,129.55/410,233.17
  6. Step 6: Final answer
    x = 315,911.42

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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.