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Finding the Fourth Proportional to 765,759.76, 1,148,552.56 and 204,838

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Solution

The fourth proportional to 765,759.76, 1,148,552.56 and 204,838 is: 307,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,759.76 : 1,148,552.56 = 204,838 : x
  2. Step 2: Convert to fraction form
    765,759.76/1,148,552.56 = 204,838/x
  3. Step 3: Cross multiply
    765,759.76x = 1,148,552.56 × 204,838
  4. Step 4: Simplify right side
    765,759.76x = 235,267,209,285.28
  5. Step 5: Solve for x
    x = 235,267,209,285.28/765,759.76
  6. Step 6: Final answer
    x = 307,233.71

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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.