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Finding the Fourth Proportional to 458,442.09, 687,671.64 and 158,932.44

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Solution

The fourth proportional to 458,442.09, 687,671.64 and 158,932.44 is: 238,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,442.09 : 687,671.64 = 158,932.44 : x
  2. Step 2: Convert to fraction form
    458,442.09/687,671.64 = 158,932.44/x
  3. Step 3: Cross multiply
    458,442.09x = 687,671.64 × 158,932.44
  4. Step 4: Simplify right side
    458,442.09x = 109,293,331,664.00
  5. Step 5: Solve for x
    x = 109,293,331,664.00/458,442.09
  6. Step 6: Final answer
    x = 238,401.61

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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.