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Finding the Fourth Proportional to 497,817.08, 746,724.06 and 123,840.08

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Solution

The fourth proportional to 497,817.08, 746,724.06 and 123,840.08 is: 185,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,817.08 : 746,724.06 = 123,840.08 : x
  2. Step 2: Convert to fraction form
    497,817.08/746,724.06 = 123,840.08/x
  3. Step 3: Cross multiply
    497,817.08x = 746,724.06 × 123,840.08
  4. Step 4: Simplify right side
    497,817.08x = 92,474,367,328.32
  5. Step 5: Solve for x
    x = 92,474,367,328.32/497,817.08
  6. Step 6: Final answer
    x = 185,759.73

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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.