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Finding the Fourth Proportional to 278,292.32, 384,043.49 and 157,431.05

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Solution

The fourth proportional to 278,292.32, 384,043.49 and 157,431.05 is: 217,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,292.32 : 384,043.49 = 157,431.05 : x
  2. Step 2: Convert to fraction form
    278,292.32/384,043.49 = 157,431.05/x
  3. Step 3: Cross multiply
    278,292.32x = 384,043.49 × 157,431.05
  4. Step 4: Simplify right side
    278,292.32x = 60,460,369,876.36
  5. Step 5: Solve for x
    x = 60,460,369,876.36/278,292.32
  6. Step 6: Final answer
    x = 217,254.90

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