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Finding the Fourth Proportional to 280,049.00, 419,696.84 and 153,499.46

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Solution

The fourth proportional to 280,049.00, 419,696.84 and 153,499.46 is: 230,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,049.00 : 419,696.84 = 153,499.46 : x
  2. Step 2: Convert to fraction form
    280,049.00/419,696.84 = 153,499.46/x
  3. Step 3: Cross multiply
    280,049.00x = 419,696.84 × 153,499.46
  4. Step 4: Simplify right side
    280,049.00x = 64,423,236,588.97
  5. Step 5: Solve for x
    x = 64,423,236,588.97/280,049.00
  6. Step 6: Final answer
    x = 230,042.73

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1.5x scale

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.