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Finding the Fourth Proportional to 598,167.92, 897,113.56 and 177,342.32

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Solution

The fourth proportional to 598,167.92, 897,113.56 and 177,342.32 is: 265,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,167.92 : 897,113.56 = 177,342.32 : x
  2. Step 2: Convert to fraction form
    598,167.92/897,113.56 = 177,342.32/x
  3. Step 3: Cross multiply
    598,167.92x = 897,113.56 × 177,342.32
  4. Step 4: Simplify right side
    598,167.92x = 159,096,200,033.86
  5. Step 5: Solve for x
    x = 159,096,200,033.86/598,167.92
  6. Step 6: Final answer
    x = 265,972.47

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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.