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Finding the Fourth Proportional to 288,714.19, 398,434.41 and 161,395.15

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Solution

The fourth proportional to 288,714.19, 398,434.41 and 161,395.15 is: 222,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,714.19 : 398,434.41 = 161,395.15 : x
  2. Step 2: Convert to fraction form
    288,714.19/398,434.41 = 161,395.15/x
  3. Step 3: Cross multiply
    288,714.19x = 398,434.41 × 161,395.15
  4. Step 4: Simplify right side
    288,714.19x = 64,305,381,367.11
  5. Step 5: Solve for x
    x = 64,305,381,367.11/288,714.19
  6. Step 6: Final answer
    x = 222,730.24

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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.