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Finding the Fourth Proportional to 497,872.42, 746,813.77 and 123,895.42

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Solution

The fourth proportional to 497,872.42, 746,813.77 and 123,895.42 is: 185,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,872.42 : 746,813.77 = 123,895.42 : x
  2. Step 2: Convert to fraction form
    497,872.42/746,813.77 = 123,895.42/x
  3. Step 3: Cross multiply
    497,872.42x = 746,813.77 × 123,895.42
  4. Step 4: Simplify right side
    497,872.42x = 92,526,805,695.93
  5. Step 5: Solve for x
    x = 92,526,805,695.93/497,872.42
  6. Step 6: Final answer
    x = 185,844.41

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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.