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Finding the Fourth Proportional to 278,344.32, 417,174.48 and 128,376.48

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Solution

The fourth proportional to 278,344.32, 417,174.48 and 128,376.48 is: 192,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,344.32 : 417,174.48 = 128,376.48 : x
  2. Step 2: Convert to fraction form
    278,344.32/417,174.48 = 128,376.48/x
  3. Step 3: Cross multiply
    278,344.32x = 417,174.48 × 128,376.48
  4. Step 4: Simplify right side
    278,344.32x = 53,555,391,288.23
  5. Step 5: Solve for x
    x = 53,555,391,288.23/278,344.32
  6. Step 6: Final answer
    x = 192,406.98

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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.