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Finding the Fourth Proportional to 518,993.15, 778,120.59 and 198,873.75

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Solution

The fourth proportional to 518,993.15, 778,120.59 and 198,873.75 is: 298,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,993.15 : 778,120.59 = 198,873.75 : x
  2. Step 2: Convert to fraction form
    518,993.15/778,120.59 = 198,873.75/x
  3. Step 3: Cross multiply
    518,993.15x = 778,120.59 × 198,873.75
  4. Step 4: Simplify right side
    518,993.15x = 154,747,759,685.51
  5. Step 5: Solve for x
    x = 154,747,759,685.51/518,993.15
  6. Step 6: Final answer
    x = 298,169.18

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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.