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Finding the Fourth Proportional to 498,295.48, 746,998.80 and 182,678.80

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Solution

The fourth proportional to 498,295.48, 746,998.80 and 182,678.80 is: 273,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,295.48 : 746,998.80 = 182,678.80 : x
  2. Step 2: Convert to fraction form
    498,295.48/746,998.80 = 182,678.80/x
  3. Step 3: Cross multiply
    498,295.48x = 746,998.80 × 182,678.80
  4. Step 4: Simplify right side
    498,295.48x = 136,460,844,385.44
  5. Step 5: Solve for x
    x = 136,460,844,385.44/498,295.48
  6. Step 6: Final answer
    x = 273,855.27

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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.