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Finding the Fourth Proportional to 407,458.77, 562,359.69 and 226,229.37

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Solution

The fourth proportional to 407,458.77, 562,359.69 and 226,229.37 is: 312,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,458.77 : 562,359.69 = 226,229.37 : x
  2. Step 2: Convert to fraction form
    407,458.77/562,359.69 = 226,229.37/x
  3. Step 3: Cross multiply
    407,458.77x = 562,359.69 × 226,229.37
  4. Step 4: Simplify right side
    407,458.77x = 127,222,278,382.10
  5. Step 5: Solve for x
    x = 127,222,278,382.10/407,458.77
  6. Step 6: Final answer
    x = 312,233.50

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Double scale
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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.