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Finding the Fourth Proportional to 407,574.47, 562,426.75 and 226,286.36

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Solution

The fourth proportional to 407,574.47, 562,426.75 and 226,286.36 is: 312,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,574.47 : 562,426.75 = 226,286.36 : x
  2. Step 2: Convert to fraction form
    407,574.47/562,426.75 = 226,286.36/x
  3. Step 3: Cross multiply
    407,574.47x = 562,426.75 × 226,286.36
  4. Step 4: Simplify right side
    407,574.47x = 127,269,499,494.85
  5. Step 5: Solve for x
    x = 127,269,499,494.85/407,574.47
  6. Step 6: Final answer
    x = 312,260.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.