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Finding the Fourth Proportional to 360,298.26, 497,143.17 and 226,101.78

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Solution

The fourth proportional to 360,298.26, 497,143.17 and 226,101.78 is: 311,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,298.26 : 497,143.17 = 226,101.78 : x
  2. Step 2: Convert to fraction form
    360,298.26/497,143.17 = 226,101.78/x
  3. Step 3: Cross multiply
    360,298.26x = 497,143.17 × 226,101.78
  4. Step 4: Simplify right side
    360,298.26x = 112,404,955,651.84
  5. Step 5: Solve for x
    x = 112,404,955,651.84/360,298.26
  6. Step 6: Final answer
    x = 311,977.51

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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.