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Finding the Fourth Proportional to 296,563.40, 444,845.10 and 282,785.30

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Solution

The fourth proportional to 296,563.40, 444,845.10 and 282,785.30 is: 424,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,563.40 : 444,845.10 = 282,785.30 : x
  2. Step 2: Convert to fraction form
    296,563.40/444,845.10 = 282,785.30/x
  3. Step 3: Cross multiply
    296,563.40x = 444,845.10 × 282,785.30
  4. Step 4: Simplify right side
    296,563.40x = 125,795,655,057.03
  5. Step 5: Solve for x
    x = 125,795,655,057.03/296,563.40
  6. Step 6: Final answer
    x = 424,177.95

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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.