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Finding the Fourth Proportional to 508,734.22, 763,082.50 and 205,259.62

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Solution

The fourth proportional to 508,734.22, 763,082.50 and 205,259.62 is: 307,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,734.22 : 763,082.50 = 205,259.62 : x
  2. Step 2: Convert to fraction form
    508,734.22/763,082.50 = 205,259.62/x
  3. Step 3: Cross multiply
    508,734.22x = 763,082.50 × 205,259.62
  4. Step 4: Simplify right side
    508,734.22x = 156,630,023,978.65
  5. Step 5: Solve for x
    x = 156,630,023,978.65/508,734.22
  6. Step 6: Final answer
    x = 307,881.83

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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.