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Finding the Fourth Proportional to 352,605.78, 486,595.98 and 201,702.78

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Solution

The fourth proportional to 352,605.78, 486,595.98 and 201,702.78 is: 278,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,605.78 : 486,595.98 = 201,702.78 : x
  2. Step 2: Convert to fraction form
    352,605.78/486,595.98 = 201,702.78/x
  3. Step 3: Cross multiply
    352,605.78x = 486,595.98 × 201,702.78
  4. Step 4: Simplify right side
    352,605.78x = 98,147,761,902.82
  5. Step 5: Solve for x
    x = 98,147,761,902.82/352,605.78
  6. Step 6: Final answer
    x = 278,349.84

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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.