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Finding the Fourth Proportional to 278,216.30, 383,519.88 and 217,681.83

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Solution

The fourth proportional to 278,216.30, 383,519.88 and 217,681.83 is: 300,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,216.30 : 383,519.88 = 217,681.83 : x
  2. Step 2: Convert to fraction form
    278,216.30/383,519.88 = 217,681.83/x
  3. Step 3: Cross multiply
    278,216.30x = 383,519.88 × 217,681.83
  4. Step 4: Simplify right side
    278,216.30x = 83,485,309,319.78
  5. Step 5: Solve for x
    x = 83,485,309,319.78/278,216.30
  6. Step 6: Final answer
    x = 300,073.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.