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Finding the Fourth Proportional to 598,017.57, 897,174 and 177,293.43

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Solution

The fourth proportional to 598,017.57, 897,174 and 177,293.43 is: 265,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,017.57 : 897,174 = 177,293.43 : x
  2. Step 2: Convert to fraction form
    598,017.57/897,174 = 177,293.43/x
  3. Step 3: Cross multiply
    598,017.57x = 897,174 × 177,293.43
  4. Step 4: Simplify right side
    598,017.57x = 159,063,055,766.82
  5. Step 5: Solve for x
    x = 159,063,055,766.82/598,017.57
  6. Step 6: Final answer
    x = 265,983.92

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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.