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Finding the Fourth Proportional to 379,164.86, 523,348.35 and 235,843.46

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Solution

The fourth proportional to 379,164.86, 523,348.35 and 235,843.46 is: 325,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,164.86 : 523,348.35 = 235,843.46 : x
  2. Step 2: Convert to fraction form
    379,164.86/523,348.35 = 235,843.46/x
  3. Step 3: Cross multiply
    379,164.86x = 523,348.35 × 235,843.46
  4. Step 4: Simplify right side
    379,164.86x = 123,428,285,649.29
  5. Step 5: Solve for x
    x = 123,428,285,649.29/379,164.86
  6. Step 6: Final answer
    x = 325,526.70

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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.