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Finding the Fourth Proportional to 274,347.84, 411,514.02 and 74,669.96

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Solution

The fourth proportional to 274,347.84, 411,514.02 and 74,669.96 is: 112,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,347.84 : 411,514.02 = 74,669.96 : x
  2. Step 2: Convert to fraction form
    274,347.84/411,514.02 = 74,669.96/x
  3. Step 3: Cross multiply
    274,347.84x = 411,514.02 × 74,669.96
  4. Step 4: Simplify right side
    274,347.84x = 30,727,733,355.27
  5. Step 5: Solve for x
    x = 30,727,733,355.27/274,347.84
  6. Step 6: Final answer
    x = 112,002.83

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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.