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Finding the Fourth Proportional to 417,461.12, 576,093.12 and 226,473.92

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Solution

The fourth proportional to 417,461.12, 576,093.12 and 226,473.92 is: 312,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,461.12 : 576,093.12 = 226,473.92 : x
  2. Step 2: Convert to fraction form
    417,461.12/576,093.12 = 226,473.92/x
  3. Step 3: Cross multiply
    417,461.12x = 576,093.12 × 226,473.92
  4. Step 4: Simplify right side
    417,461.12x = 130,470,067,171.43
  5. Step 5: Solve for x
    x = 130,470,067,171.43/417,461.12
  6. Step 6: Final answer
    x = 312,532.26

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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.