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Finding the Fourth Proportional to 407,278.38, 562,035.56 and 225,986.34

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Solution

The fourth proportional to 407,278.38, 562,035.56 and 225,986.34 is: 311,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,278.38 : 562,035.56 = 225,986.34 : x
  2. Step 2: Convert to fraction form
    407,278.38/562,035.56 = 225,986.34/x
  3. Step 3: Cross multiply
    407,278.38x = 562,035.56 × 225,986.34
  4. Step 4: Simplify right side
    407,278.38x = 127,012,358,024.32
  5. Step 5: Solve for x
    x = 127,012,358,024.32/407,278.38
  6. Step 6: Final answer
    x = 311,856.37

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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.