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Finding the Fourth Proportional to 288,465.65, 398,081.60 and 159,400.52

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Solution

The fourth proportional to 288,465.65, 398,081.60 and 159,400.52 is: 219,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,465.65 : 398,081.60 = 159,400.52 : x
  2. Step 2: Convert to fraction form
    288,465.65/398,081.60 = 159,400.52/x
  3. Step 3: Cross multiply
    288,465.65x = 398,081.60 × 159,400.52
  4. Step 4: Simplify right side
    288,465.65x = 63,454,413,245.43
  5. Step 5: Solve for x
    x = 63,454,413,245.43/288,465.65
  6. Step 6: Final answer
    x = 219,972.17

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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.