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Finding the Fourth Proportional to 409,160.44, 613,702.79 and 192,969.59

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Solution

The fourth proportional to 409,160.44, 613,702.79 and 192,969.59 is: 289,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,160.44 : 613,702.79 = 192,969.59 : x
  2. Step 2: Convert to fraction form
    409,160.44/613,702.79 = 192,969.59/x
  3. Step 3: Cross multiply
    409,160.44x = 613,702.79 × 192,969.59
  4. Step 4: Simplify right side
    409,160.44x = 118,425,977,061.20
  5. Step 5: Solve for x
    x = 118,425,977,061.20/409,160.44
  6. Step 6: Final answer
    x = 289,436.53

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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.