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Finding the Fourth Proportional to 265,532.86, 398,397.71 and 123,454.41

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Solution

The fourth proportional to 265,532.86, 398,397.71 and 123,454.41 is: 185,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,532.86 : 398,397.71 = 123,454.41 : x
  2. Step 2: Convert to fraction form
    265,532.86/398,397.71 = 123,454.41/x
  3. Step 3: Cross multiply
    265,532.86x = 398,397.71 × 123,454.41
  4. Step 4: Simplify right side
    265,532.86x = 49,183,954,233.40
  5. Step 5: Solve for x
    x = 49,183,954,233.40/265,532.86
  6. Step 6: Final answer
    x = 185,227.37

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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.