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Finding the Fourth Proportional to 457,608.96, 686,417.49 and 187,885.44

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Solution

The fourth proportional to 457,608.96, 686,417.49 and 187,885.44 is: 281,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,608.96 : 686,417.49 = 187,885.44 : x
  2. Step 2: Convert to fraction form
    457,608.96/686,417.49 = 187,885.44/x
  3. Step 3: Cross multiply
    457,608.96x = 686,417.49 × 187,885.44
  4. Step 4: Simplify right side
    457,608.96x = 128,967,852,132.35
  5. Step 5: Solve for x
    x = 128,967,852,132.35/457,608.96
  6. Step 6: Final answer
    x = 281,829.82

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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.