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Finding the Fourth Proportional to 574,136.86, 861,329.75 and 174,767.19

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Solution

The fourth proportional to 574,136.86, 861,329.75 and 174,767.19 is: 262,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,136.86 : 861,329.75 = 174,767.19 : x
  2. Step 2: Convert to fraction form
    574,136.86/861,329.75 = 174,767.19/x
  3. Step 3: Cross multiply
    574,136.86x = 861,329.75 × 174,767.19
  4. Step 4: Simplify right side
    574,136.86x = 150,532,184,217.62
  5. Step 5: Solve for x
    x = 150,532,184,217.62/574,136.86
  6. Step 6: Final answer
    x = 262,188.68

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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.