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Finding the Fourth Proportional to 224,328, 309,579.12 and 123,732.48

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Solution

The fourth proportional to 224,328, 309,579.12 and 123,732.48 is: 170,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,328 : 309,579.12 = 123,732.48 : x
  2. Step 2: Convert to fraction form
    224,328/309,579.12 = 123,732.48/x
  3. Step 3: Cross multiply
    224,328x = 309,579.12 × 123,732.48
  4. Step 4: Simplify right side
    224,328x = 38,304,992,273.82
  5. Step 5: Solve for x
    x = 38,304,992,273.82/224,328
  6. Step 6: Final answer
    x = 170,754.40

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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.