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Finding the Fourth Proportional to 652,365.74, 978,689.14 and 196,918.82

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Solution

The fourth proportional to 652,365.74, 978,689.14 and 196,918.82 is: 295,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,365.74 : 978,689.14 = 196,918.82 : x
  2. Step 2: Convert to fraction form
    652,365.74/978,689.14 = 196,918.82/x
  3. Step 3: Cross multiply
    652,365.74x = 978,689.14 × 196,918.82
  4. Step 4: Simplify right side
    652,365.74x = 192,722,304,717.58
  5. Step 5: Solve for x
    x = 192,722,304,717.58/652,365.74
  6. Step 6: Final answer
    x = 295,420.64

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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.