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Finding the Fourth Proportional to 357,098.74, 492,794.89 and 195,956.48

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Solution

The fourth proportional to 357,098.74, 492,794.89 and 195,956.48 is: 270,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,098.74 : 492,794.89 = 195,956.48 : x
  2. Step 2: Convert to fraction form
    357,098.74/492,794.89 = 195,956.48/x
  3. Step 3: Cross multiply
    357,098.74x = 492,794.89 × 195,956.48
  4. Step 4: Simplify right side
    357,098.74x = 96,566,352,006.39
  5. Step 5: Solve for x
    x = 96,566,352,006.39/357,098.74
  6. Step 6: Final answer
    x = 270,419.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.