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Finding the Fourth Proportional to 457,169.31, 685,756.24 and 187,444.77

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Solution

The fourth proportional to 457,169.31, 685,756.24 and 187,444.77 is: 281,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,169.31 : 685,756.24 = 187,444.77 : x
  2. Step 2: Convert to fraction form
    457,169.31/685,756.24 = 187,444.77/x
  3. Step 3: Cross multiply
    457,169.31x = 685,756.24 × 187,444.77
  4. Step 4: Simplify right side
    457,169.31x = 128,541,420,682.87
  5. Step 5: Solve for x
    x = 128,541,420,682.87/457,169.31
  6. Step 6: Final answer
    x = 281,168.09

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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.