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Finding the Fourth Proportional to 264,842.58, 397,288.35 and 75,306.90

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Solution

The fourth proportional to 264,842.58, 397,288.35 and 75,306.90 is: 112,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,842.58 : 397,288.35 = 75,306.90 : x
  2. Step 2: Convert to fraction form
    264,842.58/397,288.35 = 75,306.90/x
  3. Step 3: Cross multiply
    264,842.58x = 397,288.35 × 75,306.90
  4. Step 4: Simplify right side
    264,842.58x = 29,918,554,044.62
  5. Step 5: Solve for x
    x = 29,918,554,044.62/264,842.58
  6. Step 6: Final answer
    x = 112,967.31

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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.