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Finding the Fourth Proportional to 367,141.25, 506,663.66 and 206,008.21

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Solution

The fourth proportional to 367,141.25, 506,663.66 and 206,008.21 is: 284,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,141.25 : 506,663.66 = 206,008.21 : x
  2. Step 2: Convert to fraction form
    367,141.25/506,663.66 = 206,008.21/x
  3. Step 3: Cross multiply
    367,141.25x = 506,663.66 × 206,008.21
  4. Step 4: Simplify right side
    367,141.25x = 104,376,874,370.70
  5. Step 5: Solve for x
    x = 104,376,874,370.70/367,141.25
  6. Step 6: Final answer
    x = 284,296.24

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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.