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Finding the Fourth Proportional to 457,166.14, 685,751.49 and 187,441.61

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Solution

The fourth proportional to 457,166.14, 685,751.49 and 187,441.61 is: 281,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,166.14 : 685,751.49 = 187,441.61 : x
  2. Step 2: Convert to fraction form
    457,166.14/685,751.49 = 187,441.61/x
  3. Step 3: Cross multiply
    457,166.14x = 685,751.49 × 187,441.61
  4. Step 4: Simplify right side
    457,166.14x = 128,538,359,916.74
  5. Step 5: Solve for x
    x = 128,538,359,916.74/457,166.14
  6. Step 6: Final answer
    x = 281,163.34

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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.