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Finding the Fourth Proportional to 364,965.48, 503,647.38 and 203,823.36

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Solution

The fourth proportional to 364,965.48, 503,647.38 and 203,823.36 is: 281,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,965.48 : 503,647.38 = 203,823.36 : x
  2. Step 2: Convert to fraction form
    364,965.48/503,647.38 = 203,823.36/x
  3. Step 3: Cross multiply
    364,965.48x = 503,647.38 × 203,823.36
  4. Step 4: Simplify right side
    364,965.48x = 102,655,101,246.80
  5. Step 5: Solve for x
    x = 102,655,101,246.80/364,965.48
  6. Step 6: Final answer
    x = 281,273.45

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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.