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Finding the Fourth Proportional to 458,415.97, 687,468.22 and 158,826.62

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Solution

The fourth proportional to 458,415.97, 687,468.22 and 158,826.62 is: 238,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,415.97 : 687,468.22 = 158,826.62 : x
  2. Step 2: Convert to fraction form
    458,415.97/687,468.22 = 158,826.62/x
  3. Step 3: Cross multiply
    458,415.97x = 687,468.22 × 158,826.62
  4. Step 4: Simplify right side
    458,415.97x = 109,188,256,178.37
  5. Step 5: Solve for x
    x = 109,188,256,178.37/458,415.97
  6. Step 6: Final answer
    x = 238,185.98

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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.