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Finding the Fourth Proportional to 412,402.10, 617,566.35 and 329,458.10

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Solution

The fourth proportional to 412,402.10, 617,566.35 and 329,458.10 is: 493,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,402.10 : 617,566.35 = 329,458.10 : x
  2. Step 2: Convert to fraction form
    412,402.10/617,566.35 = 329,458.10/x
  3. Step 3: Cross multiply
    412,402.10x = 617,566.35 × 329,458.10
  4. Step 4: Simplify right side
    412,402.10x = 203,462,236,294.94
  5. Step 5: Solve for x
    x = 203,462,236,294.94/412,402.10
  6. Step 6: Final answer
    x = 493,358.88

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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.