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Finding the Fourth Proportional to 524,093.28, 723,268.08 and 297,777.12

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Solution

The fourth proportional to 524,093.28, 723,268.08 and 297,777.12 is: 410,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,093.28 : 723,268.08 = 297,777.12 : x
  2. Step 2: Convert to fraction form
    524,093.28/723,268.08 = 297,777.12/x
  3. Step 3: Cross multiply
    524,093.28x = 723,268.08 × 297,777.12
  4. Step 4: Simplify right side
    524,093.28x = 215,372,685,850.33
  5. Step 5: Solve for x
    x = 215,372,685,850.33/524,093.28
  6. Step 6: Final answer
    x = 410,943.42

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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.