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Finding the Fourth Proportional to 411,852.60, 616,742.10 and 270,847.80

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Solution

The fourth proportional to 411,852.60, 616,742.10 and 270,847.80 is: 405,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,852.60 : 616,742.10 = 270,847.80 : x
  2. Step 2: Convert to fraction form
    411,852.60/616,742.10 = 270,847.80/x
  3. Step 3: Cross multiply
    411,852.60x = 616,742.10 × 270,847.80
  4. Step 4: Simplify right side
    411,852.60x = 167,043,240,952.38
  5. Step 5: Solve for x
    x = 167,043,240,952.38/411,852.60
  6. Step 6: Final answer
    x = 405,589.87

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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.