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Finding the Fourth Proportional to 288,949, 398,767.30 and 161,633.16

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Solution

The fourth proportional to 288,949, 398,767.30 and 161,633.16 is: 223,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,949 : 398,767.30 = 161,633.16 : x
  2. Step 2: Convert to fraction form
    288,949/398,767.30 = 161,633.16/x
  3. Step 3: Cross multiply
    288,949x = 398,767.30 × 161,633.16
  4. Step 4: Simplify right side
    288,949x = 64,454,018,803.67
  5. Step 5: Solve for x
    x = 64,454,018,803.67/288,949
  6. Step 6: Final answer
    x = 223,063.65

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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.