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Finding the Fourth Proportional to 435,476.94, 652,855.78 and 192,144.77

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Solution

The fourth proportional to 435,476.94, 652,855.78 and 192,144.77 is: 288,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,476.94 : 652,855.78 = 192,144.77 : x
  2. Step 2: Convert to fraction form
    435,476.94/652,855.78 = 192,144.77/x
  3. Step 3: Cross multiply
    435,476.94x = 652,855.78 × 192,144.77
  4. Step 4: Simplify right side
    435,476.94x = 125,442,824,843.05
  5. Step 5: Solve for x
    x = 125,442,824,843.05/435,476.94
  6. Step 6: Final answer
    x = 288,058.48

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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.