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Finding the Fourth Proportional to 367,315.66, 506,890.56 and 206,167.78

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Solution

The fourth proportional to 367,315.66, 506,890.56 and 206,167.78 is: 284,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,315.66 : 506,890.56 = 206,167.78 : x
  2. Step 2: Convert to fraction form
    367,315.66/506,890.56 = 206,167.78/x
  3. Step 3: Cross multiply
    367,315.66x = 506,890.56 × 206,167.78
  4. Step 4: Simplify right side
    367,315.66x = 104,504,501,705.21
  5. Step 5: Solve for x
    x = 104,504,501,705.21/367,315.66
  6. Step 6: Final answer
    x = 284,508.70

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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.