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Finding the Fourth Proportional to 269,564.80, 404,347.20 and 256,442.80

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Solution

The fourth proportional to 269,564.80, 404,347.20 and 256,442.80 is: 384,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,564.80 : 404,347.20 = 256,442.80 : x
  2. Step 2: Convert to fraction form
    269,564.80/404,347.20 = 256,442.80/x
  3. Step 3: Cross multiply
    269,564.80x = 404,347.20 × 256,442.80
  4. Step 4: Simplify right side
    269,564.80x = 103,691,928,140.16
  5. Step 5: Solve for x
    x = 103,691,928,140.16/269,564.80
  6. Step 6: Final answer
    x = 384,664.20

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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.