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Finding the Fourth Proportional to 345,516.52, 517,963.74 and 123,745

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Solution

The fourth proportional to 345,516.52, 517,963.74 and 123,745 is: 185,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,516.52 : 517,963.74 = 123,745 : x
  2. Step 2: Convert to fraction form
    345,516.52/517,963.74 = 123,745/x
  3. Step 3: Cross multiply
    345,516.52x = 517,963.74 × 123,745
  4. Step 4: Simplify right side
    345,516.52x = 64,095,423,006.30
  5. Step 5: Solve for x
    x = 64,095,423,006.30/345,516.52
  6. Step 6: Final answer
    x = 185,506.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.