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Finding the Fourth Proportional to 471,268.88, 650,743.44 and 437,078.24

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Solution

The fourth proportional to 471,268.88, 650,743.44 and 437,078.24 is: 603,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,268.88 : 650,743.44 = 437,078.24 : x
  2. Step 2: Convert to fraction form
    471,268.88/650,743.44 = 437,078.24/x
  3. Step 3: Cross multiply
    471,268.88x = 650,743.44 × 437,078.24
  4. Step 4: Simplify right side
    471,268.88x = 284,425,797,446.75
  5. Step 5: Solve for x
    x = 284,425,797,446.75/471,268.88
  6. Step 6: Final answer
    x = 603,531.89

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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.