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Finding the Fourth Proportional to 341,463.40, 512,195.10 and 192,164.20

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Solution

The fourth proportional to 341,463.40, 512,195.10 and 192,164.20 is: 288,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,463.40 : 512,195.10 = 192,164.20 : x
  2. Step 2: Convert to fraction form
    341,463.40/512,195.10 = 192,164.20/x
  3. Step 3: Cross multiply
    341,463.40x = 512,195.10 × 192,164.20
  4. Step 4: Simplify right side
    341,463.40x = 98,425,561,635.42
  5. Step 5: Solve for x
    x = 98,425,561,635.42/341,463.40
  6. Step 6: Final answer
    x = 288,246.30

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1.5x scale

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.