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Finding the Fourth Proportional to 457,906.59, 686,964.51 and 158,386.92

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Solution

The fourth proportional to 457,906.59, 686,964.51 and 158,386.92 is: 237,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,906.59 : 686,964.51 = 158,386.92 : x
  2. Step 2: Convert to fraction form
    457,906.59/686,964.51 = 158,386.92/x
  3. Step 3: Cross multiply
    457,906.59x = 686,964.51 × 158,386.92
  4. Step 4: Simplify right side
    457,906.59x = 108,806,192,888.21
  5. Step 5: Solve for x
    x = 108,806,192,888.21/457,906.59
  6. Step 6: Final answer
    x = 237,616.57

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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.