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Finding the Fourth Proportional to 323,186.40, 484,585.20 and 165,722.40

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Solution

The fourth proportional to 323,186.40, 484,585.20 and 165,722.40 is: 248,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,186.40 : 484,585.20 = 165,722.40 : x
  2. Step 2: Convert to fraction form
    323,186.40/484,585.20 = 165,722.40/x
  3. Step 3: Cross multiply
    323,186.40x = 484,585.20 × 165,722.40
  4. Step 4: Simplify right side
    323,186.40x = 80,306,622,348.48
  5. Step 5: Solve for x
    x = 80,306,622,348.48/323,186.40
  6. Step 6: Final answer
    x = 248,483.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.