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Finding the Fourth Proportional to 538,561.57, 743,216.48 and 296,845.11

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Solution

The fourth proportional to 538,561.57, 743,216.48 and 296,845.11 is: 409,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,561.57 : 743,216.48 = 296,845.11 : x
  2. Step 2: Convert to fraction form
    538,561.57/743,216.48 = 296,845.11/x
  3. Step 3: Cross multiply
    538,561.57x = 743,216.48 × 296,845.11
  4. Step 4: Simplify right side
    538,561.57x = 220,620,172,559.11
  5. Step 5: Solve for x
    x = 220,620,172,559.11/538,561.57
  6. Step 6: Final answer
    x = 409,647.08

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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.