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Finding the Fourth Proportional to 658,258, 987,390.24 and 159,622

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Solution

The fourth proportional to 658,258, 987,390.24 and 159,622 is: 239,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,258 : 987,390.24 = 159,622 : x
  2. Step 2: Convert to fraction form
    658,258/987,390.24 = 159,622/x
  3. Step 3: Cross multiply
    658,258x = 987,390.24 × 159,622
  4. Step 4: Simplify right side
    658,258x = 157,609,204,889.28
  5. Step 5: Solve for x
    x = 157,609,204,889.28/658,258
  6. Step 6: Final answer
    x = 239,433.79

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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.