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Finding the Fourth Proportional to 461,518.08, 691,801.92 and 334,842.72

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Solution

The fourth proportional to 461,518.08, 691,801.92 and 334,842.72 is: 501,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,518.08 : 691,801.92 = 334,842.72 : x
  2. Step 2: Convert to fraction form
    461,518.08/691,801.92 = 334,842.72/x
  3. Step 3: Cross multiply
    461,518.08x = 691,801.92 × 334,842.72
  4. Step 4: Simplify right side
    461,518.08x = 231,644,836,594.02
  5. Step 5: Solve for x
    x = 231,644,836,594.02/461,518.08
  6. Step 6: Final answer
    x = 501,919.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.