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Finding the Fourth Proportional to 341,921.70, 512,721.50 and 199,808.01

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Solution

The fourth proportional to 341,921.70, 512,721.50 and 199,808.01 is: 299,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,921.70 : 512,721.50 = 199,808.01 : x
  2. Step 2: Convert to fraction form
    341,921.70/512,721.50 = 199,808.01/x
  3. Step 3: Cross multiply
    341,921.70x = 512,721.50 × 199,808.01
  4. Step 4: Simplify right side
    341,921.70x = 102,445,861,600.18
  5. Step 5: Solve for x
    x = 102,445,861,600.18/341,921.70
  6. Step 6: Final answer
    x = 299,617.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.