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Finding the Fourth Proportional to 278,465.38, 384,381.92 and 165,288.13

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Solution

The fourth proportional to 278,465.38, 384,381.92 and 165,288.13 is: 228,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,465.38 : 384,381.92 = 165,288.13 : x
  2. Step 2: Convert to fraction form
    278,465.38/384,381.92 = 165,288.13/x
  3. Step 3: Cross multiply
    278,465.38x = 384,381.92 × 165,288.13
  4. Step 4: Simplify right side
    278,465.38x = 63,533,766,014.26
  5. Step 5: Solve for x
    x = 63,533,766,014.26/278,465.38
  6. Step 6: Final answer
    x = 228,156.79

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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.