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Finding the Fourth Proportional to 345,592.50, 476,942.13 and 194,689.50

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Solution

The fourth proportional to 345,592.50, 476,942.13 and 194,689.50 is: 268,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,592.50 : 476,942.13 = 194,689.50 : x
  2. Step 2: Convert to fraction form
    345,592.50/476,942.13 = 194,689.50/x
  3. Step 3: Cross multiply
    345,592.50x = 476,942.13 × 194,689.50
  4. Step 4: Simplify right side
    345,592.50x = 92,855,624,818.64
  5. Step 5: Solve for x
    x = 92,855,624,818.64/345,592.50
  6. Step 6: Final answer
    x = 268,685.30

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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.