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Finding the Fourth Proportional to 407,414.10, 562,227.20 and 226,127.60

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Solution

The fourth proportional to 407,414.10, 562,227.20 and 226,127.60 is: 312,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,414.10 : 562,227.20 = 226,127.60 : x
  2. Step 2: Convert to fraction form
    407,414.10/562,227.20 = 226,127.60/x
  3. Step 3: Cross multiply
    407,414.10x = 562,227.20 × 226,127.60
  4. Step 4: Simplify right side
    407,414.10x = 127,135,083,448.95
  5. Step 5: Solve for x
    x = 127,135,083,448.95/407,414.10
  6. Step 6: Final answer
    x = 312,053.72

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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.