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Finding the Fourth Proportional to 438,729.25, 658,093.97 and 158,246.47

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Solution

The fourth proportional to 438,729.25, 658,093.97 and 158,246.47 is: 237,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,729.25 : 658,093.97 = 158,246.47 : x
  2. Step 2: Convert to fraction form
    438,729.25/658,093.97 = 158,246.47/x
  3. Step 3: Cross multiply
    438,729.25x = 658,093.97 × 158,246.47
  4. Step 4: Simplify right side
    438,729.25x = 104,141,046,889.55
  5. Step 5: Solve for x
    x = 104,141,046,889.55/438,729.25
  6. Step 6: Final answer
    x = 237,369.74

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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.