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Finding the Fourth Proportional to 367,065.68, 506,589 and 205,964.24

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Solution

The fourth proportional to 367,065.68, 506,589 and 205,964.24 is: 284,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065.68 : 506,589 = 205,964.24 : x
  2. Step 2: Convert to fraction form
    367,065.68/506,589 = 205,964.24/x
  3. Step 3: Cross multiply
    367,065.68x = 506,589 × 205,964.24
  4. Step 4: Simplify right side
    367,065.68x = 104,339,218,377.36
  5. Step 5: Solve for x
    x = 104,339,218,377.36/367,065.68
  6. Step 6: Final answer
    x = 284,252.18

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1.5x scale

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.