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Finding the Fourth Proportional to 380,680.29, 525,338.72 and 227,724.92

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Solution

The fourth proportional to 380,680.29, 525,338.72 and 227,724.92 is: 314,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,680.29 : 525,338.72 = 227,724.92 : x
  2. Step 2: Convert to fraction form
    380,680.29/525,338.72 = 227,724.92/x
  3. Step 3: Cross multiply
    380,680.29x = 525,338.72 × 227,724.92
  4. Step 4: Simplify right side
    380,680.29x = 119,632,719,298.25
  5. Step 5: Solve for x
    x = 119,632,719,298.25/380,680.29
  6. Step 6: Final answer
    x = 314,260.35

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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.