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Finding the Fourth Proportional to 345,371.40, 476,612.10 and 194,469.48

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Solution

The fourth proportional to 345,371.40, 476,612.10 and 194,469.48 is: 268,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,371.40 : 476,612.10 = 194,469.48 : x
  2. Step 2: Convert to fraction form
    345,371.40/476,612.10 = 194,469.48/x
  3. Step 3: Cross multiply
    345,371.40x = 476,612.10 × 194,469.48
  4. Step 4: Simplify right side
    345,371.40x = 92,686,507,248.71
  5. Step 5: Solve for x
    x = 92,686,507,248.71/345,371.40
  6. Step 6: Final answer
    x = 268,367.64

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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.