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Finding the Fourth Proportional to 301,282.26, 415,806.42 and 173,957.58

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Solution

The fourth proportional to 301,282.26, 415,806.42 and 173,957.58 is: 240,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,282.26 : 415,806.42 = 173,957.58 : x
  2. Step 2: Convert to fraction form
    301,282.26/415,806.42 = 173,957.58/x
  3. Step 3: Cross multiply
    301,282.26x = 415,806.42 × 173,957.58
  4. Step 4: Simplify right side
    301,282.26x = 72,332,678,571.66
  5. Step 5: Solve for x
    x = 72,332,678,571.66/301,282.26
  6. Step 6: Final answer
    x = 240,082.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.