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Finding the Fourth Proportional to 298,523.45, 411,854.17 and 169,387.14

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Solution

The fourth proportional to 298,523.45, 411,854.17 and 169,387.14 is: 233,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,523.45 : 411,854.17 = 169,387.14 : x
  2. Step 2: Convert to fraction form
    298,523.45/411,854.17 = 169,387.14/x
  3. Step 3: Cross multiply
    298,523.45x = 411,854.17 × 169,387.14
  4. Step 4: Simplify right side
    298,523.45x = 69,762,799,529.91
  5. Step 5: Solve for x
    x = 69,762,799,529.91/298,523.45
  6. Step 6: Final answer
    x = 233,692.86

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1.5x scale

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.