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Finding the Fourth Proportional to 367,366.46, 506,965.46 and 206,221.82

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Solution

The fourth proportional to 367,366.46, 506,965.46 and 206,221.82 is: 284,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,366.46 : 506,965.46 = 206,221.82 : x
  2. Step 2: Convert to fraction form
    367,366.46/506,965.46 = 206,221.82/x
  3. Step 3: Cross multiply
    367,366.46x = 506,965.46 × 206,221.82
  4. Step 4: Simplify right side
    367,366.46x = 104,547,339,838.34
  5. Step 5: Solve for x
    x = 104,547,339,838.34/367,366.46
  6. Step 6: Final answer
    x = 284,585.97

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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.