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Finding the Fourth Proportional to 497,493.70, 746,240.51 and 123,516.70

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Solution

The fourth proportional to 497,493.70, 746,240.51 and 123,516.70 is: 185,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,493.70 : 746,240.51 = 123,516.70 : x
  2. Step 2: Convert to fraction form
    497,493.70/746,240.51 = 123,516.70/x
  3. Step 3: Cross multiply
    497,493.70x = 746,240.51 × 123,516.70
  4. Step 4: Simplify right side
    497,493.70x = 92,173,163,644.71
  5. Step 5: Solve for x
    x = 92,173,163,644.71/497,493.70
  6. Step 6: Final answer
    x = 185,275.04

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Why These Related Problems?

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