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Finding the Fourth Proportional to 387,058.56, 580,624.56 and 150,419.52

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Solution

The fourth proportional to 387,058.56, 580,624.56 and 150,419.52 is: 225,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,058.56 : 580,624.56 = 150,419.52 : x
  2. Step 2: Convert to fraction form
    387,058.56/580,624.56 = 150,419.52/x
  3. Step 3: Cross multiply
    387,058.56x = 580,624.56 × 150,419.52
  4. Step 4: Simplify right side
    387,058.56x = 87,337,267,615.41
  5. Step 5: Solve for x
    x = 87,337,267,615.41/387,058.56
  6. Step 6: Final answer
    x = 225,643.55

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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.