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Finding the Fourth Proportional to 458,178.76, 687,103.44 and 158,578.12

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Solution

The fourth proportional to 458,178.76, 687,103.44 and 158,578.12 is: 237,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,178.76 : 687,103.44 = 158,578.12 : x
  2. Step 2: Convert to fraction form
    458,178.76/687,103.44 = 158,578.12/x
  3. Step 3: Cross multiply
    458,178.76x = 687,103.44 × 158,578.12
  4. Step 4: Simplify right side
    458,178.76x = 108,959,571,760.73
  5. Step 5: Solve for x
    x = 108,959,571,760.73/458,178.76
  6. Step 6: Final answer
    x = 237,810.18

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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.