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Finding the Fourth Proportional to 319,015.38, 478,524.88 and 82,341.88

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Solution

The fourth proportional to 319,015.38, 478,524.88 and 82,341.88 is: 123,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,015.38 : 478,524.88 = 82,341.88 : x
  2. Step 2: Convert to fraction form
    319,015.38/478,524.88 = 82,341.88/x
  3. Step 3: Cross multiply
    319,015.38x = 478,524.88 × 82,341.88
  4. Step 4: Simplify right side
    319,015.38x = 39,402,638,245.97
  5. Step 5: Solve for x
    x = 39,402,638,245.97/319,015.38
  6. Step 6: Final answer
    x = 123,513.29

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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.