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Finding the Fourth Proportional to 407,422.92, 562,249.62 and 226,146.52

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Solution

The fourth proportional to 407,422.92, 562,249.62 and 226,146.52 is: 312,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,422.92 : 562,249.62 = 226,146.52 : x
  2. Step 2: Convert to fraction form
    407,422.92/562,249.62 = 226,146.52/x
  3. Step 3: Cross multiply
    407,422.92x = 562,249.62 × 226,146.52
  4. Step 4: Simplify right side
    407,422.92x = 127,150,794,934.32
  5. Step 5: Solve for x
    x = 127,150,794,934.32/407,422.92
  6. Step 6: Final answer
    x = 312,085.52

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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.