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Finding the Fourth Proportional to 345,593.50, 476,943.51 and 194,690.50

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Solution

The fourth proportional to 345,593.50, 476,943.51 and 194,690.50 is: 268,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,593.50 : 476,943.51 = 194,690.50 : x
  2. Step 2: Convert to fraction form
    345,593.50/476,943.51 = 194,690.50/x
  3. Step 3: Cross multiply
    345,593.50x = 476,943.51 × 194,690.50
  4. Step 4: Simplify right side
    345,593.50x = 92,856,370,433.66
  5. Step 5: Solve for x
    x = 92,856,370,433.66/345,593.50
  6. Step 6: Final answer
    x = 268,686.68

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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.