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Finding the Fourth Proportional to 296,680.95, 445,078.71 and 96,947.46

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Solution

The fourth proportional to 296,680.95, 445,078.71 and 96,947.46 is: 145,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,680.95 : 445,078.71 = 96,947.46 : x
  2. Step 2: Convert to fraction form
    296,680.95/445,078.71 = 96,947.46/x
  3. Step 3: Cross multiply
    296,680.95x = 445,078.71 × 96,947.46
  4. Step 4: Simplify right side
    296,680.95x = 43,149,250,434.58
  5. Step 5: Solve for x
    x = 43,149,250,434.58/296,680.95
  6. Step 6: Final answer
    x = 145,439.91

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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.