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Finding the Fourth Proportional to 345,177.90, 476,344.53 and 194,274.90

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Solution

The fourth proportional to 345,177.90, 476,344.53 and 194,274.90 is: 268,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,177.90 : 476,344.53 = 194,274.90 : x
  2. Step 2: Convert to fraction form
    345,177.90/476,344.53 = 194,274.90/x
  3. Step 3: Cross multiply
    345,177.90x = 476,344.53 × 194,274.90
  4. Step 4: Simplify right side
    345,177.90x = 92,541,785,931.30
  5. Step 5: Solve for x
    x = 92,541,785,931.30/345,177.90
  6. Step 6: Final answer
    x = 268,098.81

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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.