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Finding the Fourth Proportional to 356,926.77, 492,554.34 and 203,963.22

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Solution

The fourth proportional to 356,926.77, 492,554.34 and 203,963.22 is: 281,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,926.77 : 492,554.34 = 203,963.22 : x
  2. Step 2: Convert to fraction form
    356,926.77/492,554.34 = 203,963.22/x
  3. Step 3: Cross multiply
    356,926.77x = 492,554.34 × 203,963.22
  4. Step 4: Simplify right side
    356,926.77x = 100,462,969,211.38
  5. Step 5: Solve for x
    x = 100,462,969,211.38/356,926.77
  6. Step 6: Final answer
    x = 281,466.61

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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.