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Finding the Fourth Proportional to 274,513.86, 411,758.66 and 74,834.26

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Solution

The fourth proportional to 274,513.86, 411,758.66 and 74,834.26 is: 112,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,513.86 : 411,758.66 = 74,834.26 : x
  2. Step 2: Convert to fraction form
    274,513.86/411,758.66 = 74,834.26/x
  3. Step 3: Cross multiply
    274,513.86x = 411,758.66 × 74,834.26
  4. Step 4: Simplify right side
    274,513.86x = 30,813,653,777.38
  5. Step 5: Solve for x
    x = 30,813,653,777.38/274,513.86
  6. Step 6: Final answer
    x = 112,248.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.