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Finding the Fourth Proportional to 347,097.69, 520,684.82 and 110,385.02

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Solution

The fourth proportional to 347,097.69, 520,684.82 and 110,385.02 is: 165,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,097.69 : 520,684.82 = 110,385.02 : x
  2. Step 2: Convert to fraction form
    347,097.69/520,684.82 = 110,385.02/x
  3. Step 3: Cross multiply
    347,097.69x = 520,684.82 × 110,385.02
  4. Step 4: Simplify right side
    347,097.69x = 57,475,801,114.05
  5. Step 5: Solve for x
    x = 57,475,801,114.05/347,097.69
  6. Step 6: Final answer
    x = 165,589.69

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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.