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Finding the Fourth Proportional to 408,034.10, 611,629.95 and 183,502.10

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Solution

The fourth proportional to 408,034.10, 611,629.95 and 183,502.10 is: 275,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,034.10 : 611,629.95 = 183,502.10 : x
  2. Step 2: Convert to fraction form
    408,034.10/611,629.95 = 183,502.10/x
  3. Step 3: Cross multiply
    408,034.10x = 611,629.95 × 183,502.10
  4. Step 4: Simplify right side
    408,034.10x = 112,235,380,247.90
  5. Step 5: Solve for x
    x = 112,235,380,247.90/408,034.10
  6. Step 6: Final answer
    x = 275,063.73

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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.