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Finding the Fourth Proportional to 286,604.46, 395,522.19 and 165,734.10

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Solution

The fourth proportional to 286,604.46, 395,522.19 and 165,734.10 is: 228,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,604.46 : 395,522.19 = 165,734.10 : x
  2. Step 2: Convert to fraction form
    286,604.46/395,522.19 = 165,734.10/x
  3. Step 3: Cross multiply
    286,604.46x = 395,522.19 × 165,734.10
  4. Step 4: Simplify right side
    286,604.46x = 65,551,514,189.68
  5. Step 5: Solve for x
    x = 65,551,514,189.68/286,604.46
  6. Step 6: Final answer
    x = 228,717.70

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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.