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Finding the Fourth Proportional to 342,849.42, 514,605.81 and 165,481.26

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Solution

The fourth proportional to 342,849.42, 514,605.81 and 165,481.26 is: 248,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,849.42 : 514,605.81 = 165,481.26 : x
  2. Step 2: Convert to fraction form
    342,849.42/514,605.81 = 165,481.26/x
  3. Step 3: Cross multiply
    342,849.42x = 514,605.81 × 165,481.26
  4. Step 4: Simplify right side
    342,849.42x = 85,157,617,842.12
  5. Step 5: Solve for x
    x = 85,157,617,842.12/342,849.42
  6. Step 6: Final answer
    x = 248,381.98

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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.