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Finding the Fourth Proportional to 498,262.93, 747,032.30 and 198,653.65

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Solution

The fourth proportional to 498,262.93, 747,032.30 and 198,653.65 is: 297,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,262.93 : 747,032.30 = 198,653.65 : x
  2. Step 2: Convert to fraction form
    498,262.93/747,032.30 = 198,653.65/x
  3. Step 3: Cross multiply
    498,262.93x = 747,032.30 × 198,653.65
  4. Step 4: Simplify right side
    498,262.93x = 148,400,693,062.90
  5. Step 5: Solve for x
    x = 148,400,693,062.90/498,262.93
  6. Step 6: Final answer
    x = 297,836.11

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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.