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Finding the Fourth Proportional to 296,508.52, 444,790.12 and 96,829.95

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Solution

The fourth proportional to 296,508.52, 444,790.12 and 96,829.95 is: 145,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,508.52 : 444,790.12 = 96,829.95 : x
  2. Step 2: Convert to fraction form
    296,508.52/444,790.12 = 96,829.95/x
  3. Step 3: Cross multiply
    296,508.52x = 444,790.12 × 96,829.95
  4. Step 4: Simplify right side
    296,508.52x = 43,069,005,436.57
  5. Step 5: Solve for x
    x = 43,069,005,436.57/296,508.52
  6. Step 6: Final answer
    x = 145,253.86

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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.