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Finding the Fourth Proportional to 463,778.72, 695,711.60 and 143,933.60

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Solution

The fourth proportional to 463,778.72, 695,711.60 and 143,933.60 is: 215,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,778.72 : 695,711.60 = 143,933.60 : x
  2. Step 2: Convert to fraction form
    463,778.72/695,711.60 = 143,933.60/x
  3. Step 3: Cross multiply
    463,778.72x = 695,711.60 × 143,933.60
  4. Step 4: Simplify right side
    463,778.72x = 100,136,275,149.76
  5. Step 5: Solve for x
    x = 100,136,275,149.76/463,778.72
  6. Step 6: Final answer
    x = 215,913.91

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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.