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Finding the Fourth Proportional to 652,412.50, 978,759.51 and 196,965.93

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Solution

The fourth proportional to 652,412.50, 978,759.51 and 196,965.93 is: 295,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,412.50 : 978,759.51 = 196,965.93 : x
  2. Step 2: Convert to fraction form
    652,412.50/978,759.51 = 196,965.93/x
  3. Step 3: Cross multiply
    652,412.50x = 978,759.51 × 196,965.93
  4. Step 4: Simplify right side
    652,412.50x = 192,782,277,133.49
  5. Step 5: Solve for x
    x = 192,782,277,133.49/652,412.50
  6. Step 6: Final answer
    x = 295,491.39

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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.