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Finding the Fourth Proportional to 306,952.38, 423,593.55 and 215,206.38

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Solution

The fourth proportional to 306,952.38, 423,593.55 and 215,206.38 is: 296,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,952.38 : 423,593.55 = 215,206.38 : x
  2. Step 2: Convert to fraction form
    306,952.38/423,593.55 = 215,206.38/x
  3. Step 3: Cross multiply
    306,952.38x = 423,593.55 × 215,206.38
  4. Step 4: Simplify right side
    306,952.38x = 91,160,034,486.85
  5. Step 5: Solve for x
    x = 91,160,034,486.85/306,952.38
  6. Step 6: Final answer
    x = 296,984.29

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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.