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Finding the Fourth Proportional to 269,034.80, 403,412.06 and 100,416.44

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Solution

The fourth proportional to 269,034.80, 403,412.06 and 100,416.44 is: 150,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,034.80 : 403,412.06 = 100,416.44 : x
  2. Step 2: Convert to fraction form
    269,034.80/403,412.06 = 100,416.44/x
  3. Step 3: Cross multiply
    269,034.80x = 403,412.06 × 100,416.44
  4. Step 4: Simplify right side
    269,034.80x = 40,509,204,177.84
  5. Step 5: Solve for x
    x = 40,509,204,177.84/269,034.80
  6. Step 6: Final answer
    x = 150,572.36

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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.