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Finding the Fourth Proportional to 565,099.08, 847,655.20 and 165,747.80

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Solution

The fourth proportional to 565,099.08, 847,655.20 and 165,747.80 is: 248,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,099.08 : 847,655.20 = 165,747.80 : x
  2. Step 2: Convert to fraction form
    565,099.08/847,655.20 = 165,747.80/x
  3. Step 3: Cross multiply
    565,099.08x = 847,655.20 × 165,747.80
  4. Step 4: Simplify right side
    565,099.08x = 140,496,984,558.56
  5. Step 5: Solve for x
    x = 140,496,984,558.56/565,099.08
  6. Step 6: Final answer
    x = 248,623.63

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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.