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Finding the Fourth Proportional to 278,670.52, 384,568.16 and 151,348.60

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Solution

The fourth proportional to 278,670.52, 384,568.16 and 151,348.60 is: 208,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,670.52 : 384,568.16 = 151,348.60 : x
  2. Step 2: Convert to fraction form
    278,670.52/384,568.16 = 151,348.60/x
  3. Step 3: Cross multiply
    278,670.52x = 384,568.16 × 151,348.60
  4. Step 4: Simplify right side
    278,670.52x = 58,203,852,620.58
  5. Step 5: Solve for x
    x = 58,203,852,620.58/278,670.52
  6. Step 6: Final answer
    x = 208,862.61

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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.