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Finding the Fourth Proportional to 278,766.38, 384,699.15 and 171,406.55

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Solution

The fourth proportional to 278,766.38, 384,699.15 and 171,406.55 is: 236,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,766.38 : 384,699.15 = 171,406.55 : x
  2. Step 2: Convert to fraction form
    278,766.38/384,699.15 = 171,406.55/x
  3. Step 3: Cross multiply
    278,766.38x = 384,699.15 × 171,406.55
  4. Step 4: Simplify right side
    278,766.38x = 65,939,955,051.18
  5. Step 5: Solve for x
    x = 65,939,955,051.18/278,766.38
  6. Step 6: Final answer
    x = 236,541.99

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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.