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Finding the Fourth Proportional to 269,534.20, 403,523.70 and 261,758.20

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Solution

The fourth proportional to 269,534.20, 403,523.70 and 261,758.20 is: 391,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,534.20 : 403,523.70 = 261,758.20 : x
  2. Step 2: Convert to fraction form
    269,534.20/403,523.70 = 261,758.20/x
  3. Step 3: Cross multiply
    269,534.20x = 403,523.70 × 261,758.20
  4. Step 4: Simplify right side
    269,534.20x = 105,625,637,369.34
  5. Step 5: Solve for x
    x = 105,625,637,369.34/269,534.20
  6. Step 6: Final answer
    x = 391,882.13

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1.5x scale

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.