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Finding the Fourth Proportional to 379,275.78, 523,378.89 and 226,486.38

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Solution

The fourth proportional to 379,275.78, 523,378.89 and 226,486.38 is: 312,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,275.78 : 523,378.89 = 226,486.38 : x
  2. Step 2: Convert to fraction form
    379,275.78/523,378.89 = 226,486.38/x
  3. Step 3: Cross multiply
    379,275.78x = 523,378.89 × 226,486.38
  4. Step 4: Simplify right side
    379,275.78x = 118,538,190,164.52
  5. Step 5: Solve for x
    x = 118,538,190,164.52/379,275.78
  6. Step 6: Final answer
    x = 312,538.25

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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.