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Finding the Fourth Proportional to 457,966.85, 687,012.74 and 158,366.95

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Solution

The fourth proportional to 457,966.85, 687,012.74 and 158,366.95 is: 237,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,966.85 : 687,012.74 = 158,366.95 : x
  2. Step 2: Convert to fraction form
    457,966.85/687,012.74 = 158,366.95/x
  3. Step 3: Cross multiply
    457,966.85x = 687,012.74 × 158,366.95
  4. Step 4: Simplify right side
    457,966.85x = 108,800,110,329.45
  5. Step 5: Solve for x
    x = 108,800,110,329.45/457,966.85
  6. Step 6: Final answer
    x = 237,572.02

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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.