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Finding the Fourth Proportional to 356,110.82, 491,460.22 and 203,152.38

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Solution

The fourth proportional to 356,110.82, 491,460.22 and 203,152.38 is: 280,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,110.82 : 491,460.22 = 203,152.38 : x
  2. Step 2: Convert to fraction form
    356,110.82/491,460.22 = 203,152.38/x
  3. Step 3: Cross multiply
    356,110.82x = 491,460.22 × 203,152.38
  4. Step 4: Simplify right side
    356,110.82x = 99,841,313,368.32
  5. Step 5: Solve for x
    x = 99,841,313,368.32/356,110.82
  6. Step 6: Final answer
    x = 280,365.85

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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.