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Finding the Fourth Proportional to 352,915.72, 486,984.16 and 199,921.14

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Solution

The fourth proportional to 352,915.72, 486,984.16 and 199,921.14 is: 275,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,915.72 : 486,984.16 = 199,921.14 : x
  2. Step 2: Convert to fraction form
    352,915.72/486,984.16 = 199,921.14/x
  3. Step 3: Cross multiply
    352,915.72x = 486,984.16 × 199,921.14
  4. Step 4: Simplify right side
    352,915.72x = 97,358,430,130.38
  5. Step 5: Solve for x
    x = 97,358,430,130.38/352,915.72
  6. Step 6: Final answer
    x = 275,868.78

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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.