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Finding the Fourth Proportional to 383,892.60, 576,098.10 and 215,412.60

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Solution

The fourth proportional to 383,892.60, 576,098.10 and 215,412.60 is: 323,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,892.60 : 576,098.10 = 215,412.60 : x
  2. Step 2: Convert to fraction form
    383,892.60/576,098.10 = 215,412.60/x
  3. Step 3: Cross multiply
    383,892.60x = 576,098.10 × 215,412.60
  4. Step 4: Simplify right side
    383,892.60x = 124,098,789,576.06
  5. Step 5: Solve for x
    x = 124,098,789,576.06/383,892.60
  6. Step 6: Final answer
    x = 323,264.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.