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Finding the Fourth Proportional to 458,384.56, 687,585.92 and 158,874.92

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Solution

The fourth proportional to 458,384.56, 687,585.92 and 158,874.92 is: 238,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,384.56 : 687,585.92 = 158,874.92 : x
  2. Step 2: Convert to fraction form
    458,384.56/687,585.92 = 158,874.92/x
  3. Step 3: Cross multiply
    458,384.56x = 687,585.92 × 158,874.92
  4. Step 4: Simplify right side
    458,384.56x = 109,240,158,033.13
  5. Step 5: Solve for x
    x = 109,240,158,033.13/458,384.56
  6. Step 6: Final answer
    x = 238,315.53

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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.