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Finding the Fourth Proportional to 417,746.92, 576,491.40 and 226,760.24

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Solution

The fourth proportional to 417,746.92, 576,491.40 and 226,760.24 is: 312,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,746.92 : 576,491.40 = 226,760.24 : x
  2. Step 2: Convert to fraction form
    417,746.92/576,491.40 = 226,760.24/x
  3. Step 3: Cross multiply
    417,746.92x = 576,491.40 × 226,760.24
  4. Step 4: Simplify right side
    417,746.92x = 130,725,328,221.94
  5. Step 5: Solve for x
    x = 130,725,328,221.94/417,746.92
  6. Step 6: Final answer
    x = 312,929.48

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Double scale
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Similar ratio
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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.