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Finding the Fourth Proportional to 367,329.80, 506,851.08 and 206,191.64

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Solution

The fourth proportional to 367,329.80, 506,851.08 and 206,191.64 is: 284,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,329.80 : 506,851.08 = 206,191.64 : x
  2. Step 2: Convert to fraction form
    367,329.80/506,851.08 = 206,191.64/x
  3. Step 3: Cross multiply
    367,329.80x = 506,851.08 × 206,191.64
  4. Step 4: Simplify right side
    367,329.80x = 104,508,455,420.97
  5. Step 5: Solve for x
    x = 104,508,455,420.97/367,329.80
  6. Step 6: Final answer
    x = 284,508.51

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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.