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Finding the Fourth Proportional to 458,233.14, 687,357.51 and 158,722.59

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Solution

The fourth proportional to 458,233.14, 687,357.51 and 158,722.59 is: 238,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,233.14 : 687,357.51 = 158,722.59 : x
  2. Step 2: Convert to fraction form
    458,233.14/687,357.51 = 158,722.59/x
  3. Step 3: Cross multiply
    458,233.14x = 687,357.51 × 158,722.59
  4. Step 4: Simplify right side
    458,233.14x = 109,099,164,243.15
  5. Step 5: Solve for x
    x = 109,099,164,243.15/458,233.14
  6. Step 6: Final answer
    x = 238,086.59

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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.