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Finding the Fourth Proportional to 347,982.38, 480,207.51 and 204,751.70

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Solution

The fourth proportional to 347,982.38, 480,207.51 and 204,751.70 is: 282,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,982.38 : 480,207.51 = 204,751.70 : x
  2. Step 2: Convert to fraction form
    347,982.38/480,207.51 = 204,751.70/x
  3. Step 3: Cross multiply
    347,982.38x = 480,207.51 × 204,751.70
  4. Step 4: Simplify right side
    347,982.38x = 98,323,301,624.23
  5. Step 5: Solve for x
    x = 98,323,301,624.23/347,982.38
  6. Step 6: Final answer
    x = 282,552.53

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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.