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Finding the Fourth Proportional to 497,813.60, 746,266.80 and 182,194.40

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Solution

The fourth proportional to 497,813.60, 746,266.80 and 182,194.40 is: 273,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,813.60 : 746,266.80 = 182,194.40 : x
  2. Step 2: Convert to fraction form
    497,813.60/746,266.80 = 182,194.40/x
  3. Step 3: Cross multiply
    497,813.60x = 746,266.80 × 182,194.40
  4. Step 4: Simplify right side
    497,813.60x = 135,965,631,865.92
  5. Step 5: Solve for x
    x = 135,965,631,865.92/497,813.60
  6. Step 6: Final answer
    x = 273,125.59

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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.