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Finding the Fourth Proportional to 515,077.57, 772,838.36 and 278,586.73

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Solution

The fourth proportional to 515,077.57, 772,838.36 and 278,586.73 is: 418,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,077.57 : 772,838.36 = 278,586.73 : x
  2. Step 2: Convert to fraction form
    515,077.57/772,838.36 = 278,586.73/x
  3. Step 3: Cross multiply
    515,077.57x = 772,838.36 × 278,586.73
  4. Step 4: Simplify right side
    515,077.57x = 215,302,511,530.96
  5. Step 5: Solve for x
    x = 215,302,511,530.96/515,077.57
  6. Step 6: Final answer
    x = 418,000.17

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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.