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Finding the Fourth Proportional to 269,538.80, 404,308.20 and 256,416.80

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Solution

The fourth proportional to 269,538.80, 404,308.20 and 256,416.80 is: 384,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,538.80 : 404,308.20 = 256,416.80 : x
  2. Step 2: Convert to fraction form
    269,538.80/404,308.20 = 256,416.80/x
  3. Step 3: Cross multiply
    269,538.80x = 404,308.20 × 256,416.80
  4. Step 4: Simplify right side
    269,538.80x = 103,671,414,857.76
  5. Step 5: Solve for x
    x = 103,671,414,857.76/269,538.80
  6. Step 6: Final answer
    x = 384,625.20

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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.