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Finding the Fourth Proportional to 529,354.20, 793,584.84 and 229,609

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Solution

The fourth proportional to 529,354.20, 793,584.84 and 229,609 is: 344,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,354.20 : 793,584.84 = 229,609 : x
  2. Step 2: Convert to fraction form
    529,354.20/793,584.84 = 229,609/x
  3. Step 3: Cross multiply
    529,354.20x = 793,584.84 × 229,609
  4. Step 4: Simplify right side
    529,354.20x = 182,214,221,527.56
  5. Step 5: Solve for x
    x = 182,214,221,527.56/529,354.20
  6. Step 6: Final answer
    x = 344,219.85

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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.