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Finding the Fourth Proportional to 565,228.80, 847,843.20 and 512,084.70

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Solution

The fourth proportional to 565,228.80, 847,843.20 and 512,084.70 is: 768,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,228.80 : 847,843.20 = 512,084.70 : x
  2. Step 2: Convert to fraction form
    565,228.80/847,843.20 = 512,084.70/x
  3. Step 3: Cross multiply
    565,228.80x = 847,843.20 × 512,084.70
  4. Step 4: Simplify right side
    565,228.80x = 434,167,530,719.04
  5. Step 5: Solve for x
    x = 434,167,530,719.04/565,228.80
  6. Step 6: Final answer
    x = 768,127.05

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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.