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Finding the Fourth Proportional to 360,299.76, 497,145.24 and 226,103.28

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Solution

The fourth proportional to 360,299.76, 497,145.24 and 226,103.28 is: 311,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,299.76 : 497,145.24 = 226,103.28 : x
  2. Step 2: Convert to fraction form
    360,299.76/497,145.24 = 226,103.28/x
  3. Step 3: Cross multiply
    360,299.76x = 497,145.24 × 226,103.28
  4. Step 4: Simplify right side
    360,299.76x = 112,406,169,400.39
  5. Step 5: Solve for x
    x = 112,406,169,400.39/360,299.76
  6. Step 6: Final answer
    x = 311,979.58

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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.