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Finding the Fourth Proportional to 303,682.40, 455,512.80 and 137,470.40

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Solution

The fourth proportional to 303,682.40, 455,512.80 and 137,470.40 is: 206,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,682.40 : 455,512.80 = 137,470.40 : x
  2. Step 2: Convert to fraction form
    303,682.40/455,512.80 = 137,470.40/x
  3. Step 3: Cross multiply
    303,682.40x = 455,512.80 × 137,470.40
  4. Step 4: Simplify right side
    303,682.40x = 62,619,526,821.12
  5. Step 5: Solve for x
    x = 62,619,526,821.12/303,682.40
  6. Step 6: Final answer
    x = 206,200.71

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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.