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Finding the Fourth Proportional to 407,458.39, 562,232.63 and 226,171.70

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Solution

The fourth proportional to 407,458.39, 562,232.63 and 226,171.70 is: 312,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,458.39 : 562,232.63 = 226,171.70 : x
  2. Step 2: Convert to fraction form
    407,458.39/562,232.63 = 226,171.70/x
  3. Step 3: Cross multiply
    407,458.39x = 562,232.63 × 226,171.70
  4. Step 4: Simplify right side
    407,458.39x = 127,161,108,591.71
  5. Step 5: Solve for x
    x = 127,161,108,591.71/407,458.39
  6. Step 6: Final answer
    x = 312,083.67

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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.