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Finding the Fourth Proportional to 457,993.68, 686,825.88 and 158,392.90

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Solution

The fourth proportional to 457,993.68, 686,825.88 and 158,392.90 is: 237,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,993.68 : 686,825.88 = 158,392.90 : x
  2. Step 2: Convert to fraction form
    457,993.68/686,825.88 = 158,392.90/x
  3. Step 3: Cross multiply
    457,993.68x = 686,825.88 × 158,392.90
  4. Step 4: Simplify right side
    457,993.68x = 108,788,342,928.25
  5. Step 5: Solve for x
    x = 108,788,342,928.25/457,993.68
  6. Step 6: Final answer
    x = 237,532.41

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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.