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Finding the Fourth Proportional to 407,406.45, 562,247.17 and 226,118.39

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Solution

The fourth proportional to 407,406.45, 562,247.17 and 226,118.39 is: 312,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,406.45 : 562,247.17 = 226,118.39 : x
  2. Step 2: Convert to fraction form
    407,406.45/562,247.17 = 226,118.39/x
  3. Step 3: Cross multiply
    407,406.45x = 562,247.17 × 226,118.39
  4. Step 4: Simplify right side
    407,406.45x = 127,134,424,862.46
  5. Step 5: Solve for x
    x = 127,134,424,862.46/407,406.45
  6. Step 6: Final answer
    x = 312,057.96

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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.