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Finding the Fourth Proportional to 319,593.06, 478,799.10 and 161,443.80

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Solution

The fourth proportional to 319,593.06, 478,799.10 and 161,443.80 is: 241,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,593.06 : 478,799.10 = 161,443.80 : x
  2. Step 2: Convert to fraction form
    319,593.06/478,799.10 = 161,443.80/x
  3. Step 3: Cross multiply
    319,593.06x = 478,799.10 × 161,443.80
  4. Step 4: Simplify right side
    319,593.06x = 77,299,146,140.58
  5. Step 5: Solve for x
    x = 77,299,146,140.58/319,593.06
  6. Step 6: Final answer
    x = 241,867.41

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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.