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Finding the Fourth Proportional to 264,962.21, 397,549.52 and 96,494.27

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Solution

The fourth proportional to 264,962.21, 397,549.52 and 96,494.27 is: 144,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,962.21 : 397,549.52 = 96,494.27 : x
  2. Step 2: Convert to fraction form
    264,962.21/397,549.52 = 96,494.27/x
  3. Step 3: Cross multiply
    264,962.21x = 397,549.52 × 96,494.27
  4. Step 4: Simplify right side
    264,962.21x = 38,361,250,238.78
  5. Step 5: Solve for x
    x = 38,361,250,238.78/264,962.21
  6. Step 6: Final answer
    x = 144,780.08

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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.