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Finding the Fourth Proportional to 278,423.28, 384,323.70 and 165,246

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Solution

The fourth proportional to 278,423.28, 384,323.70 and 165,246 is: 228,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,423.28 : 384,323.70 = 165,246 : x
  2. Step 2: Convert to fraction form
    278,423.28/384,323.70 = 165,246/x
  3. Step 3: Cross multiply
    278,423.28x = 384,323.70 × 165,246
  4. Step 4: Simplify right side
    278,423.28x = 63,507,954,130.20
  5. Step 5: Solve for x
    x = 63,507,954,130.20/278,423.28
  6. Step 6: Final answer
    x = 228,098.58

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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.