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Finding the Fourth Proportional to 497,870.58, 746,806.02 and 123,893.58

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Solution

The fourth proportional to 497,870.58, 746,806.02 and 123,893.58 is: 185,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,870.58 : 746,806.02 = 123,893.58 : x
  2. Step 2: Convert to fraction form
    497,870.58/746,806.02 = 123,893.58/x
  3. Step 3: Cross multiply
    497,870.58x = 746,806.02 × 123,893.58
  4. Step 4: Simplify right side
    497,870.58x = 92,524,471,383.35
  5. Step 5: Solve for x
    x = 92,524,471,383.35/497,870.58
  6. Step 6: Final answer
    x = 185,840.41

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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.