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Finding the Fourth Proportional to 265,136.43, 397,705.47 and 65,456.84

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Solution

The fourth proportional to 265,136.43, 397,705.47 and 65,456.84 is: 98,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,136.43 : 397,705.47 = 65,456.84 : x
  2. Step 2: Convert to fraction form
    265,136.43/397,705.47 = 65,456.84/x
  3. Step 3: Cross multiply
    265,136.43x = 397,705.47 × 65,456.84
  4. Step 4: Simplify right side
    265,136.43x = 26,032,543,203.79
  5. Step 5: Solve for x
    x = 26,032,543,203.79/265,136.43
  6. Step 6: Final answer
    x = 98,185.46

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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.