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Finding the Fourth Proportional to 464,169.87, 695,073.15 and 305,918.55

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Solution

The fourth proportional to 464,169.87, 695,073.15 and 305,918.55 is: 458,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,169.87 : 695,073.15 = 305,918.55 : x
  2. Step 2: Convert to fraction form
    464,169.87/695,073.15 = 305,918.55/x
  3. Step 3: Cross multiply
    464,169.87x = 695,073.15 × 305,918.55
  4. Step 4: Simplify right side
    464,169.87x = 212,635,770,191.93
  5. Step 5: Solve for x
    x = 212,635,770,191.93/464,169.87
  6. Step 6: Final answer
    x = 458,099.04

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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.