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Finding the Fourth Proportional to 498,260.93, 747,029.30 and 198,651.65

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Solution

The fourth proportional to 498,260.93, 747,029.30 and 198,651.65 is: 297,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,260.93 : 747,029.30 = 198,651.65 : x
  2. Step 2: Convert to fraction form
    498,260.93/747,029.30 = 198,651.65/x
  3. Step 3: Cross multiply
    498,260.93x = 747,029.30 × 198,651.65
  4. Step 4: Simplify right side
    498,260.93x = 148,398,599,804.83
  5. Step 5: Solve for x
    x = 148,398,599,804.83/498,260.93
  6. Step 6: Final answer
    x = 297,833.11

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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.