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Finding the Fourth Proportional to 413,883.75, 620,306.24 and 176,947.95

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Solution

The fourth proportional to 413,883.75, 620,306.24 and 176,947.95 is: 265,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,883.75 : 620,306.24 = 176,947.95 : x
  2. Step 2: Convert to fraction form
    413,883.75/620,306.24 = 176,947.95/x
  3. Step 3: Cross multiply
    413,883.75x = 620,306.24 × 176,947.95
  4. Step 4: Simplify right side
    413,883.75x = 109,761,916,655.47
  5. Step 5: Solve for x
    x = 109,761,916,655.47/413,883.75
  6. Step 6: Final answer
    x = 265,199.87

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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.