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Finding the Fourth Proportional to 319,143.88, 478,727.97 and 119,443.24

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Solution

The fourth proportional to 319,143.88, 478,727.97 and 119,443.24 is: 179,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,143.88 : 478,727.97 = 119,443.24 : x
  2. Step 2: Convert to fraction form
    319,143.88/478,727.97 = 119,443.24/x
  3. Step 3: Cross multiply
    319,143.88x = 478,727.97 × 119,443.24
  4. Step 4: Simplify right side
    319,143.88x = 57,180,819,815.42
  5. Step 5: Solve for x
    x = 57,180,819,815.42/319,143.88
  6. Step 6: Final answer
    x = 179,169.41

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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.