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Finding the Fourth Proportional to 551,847.80, 827,771.70 and 410,130.20

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Solution

The fourth proportional to 551,847.80, 827,771.70 and 410,130.20 is: 615,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,847.80 : 827,771.70 = 410,130.20 : x
  2. Step 2: Convert to fraction form
    551,847.80/827,771.70 = 410,130.20/x
  3. Step 3: Cross multiply
    551,847.80x = 827,771.70 × 410,130.20
  4. Step 4: Simplify right side
    551,847.80x = 339,494,172,875.34
  5. Step 5: Solve for x
    x = 339,494,172,875.34/551,847.80
  6. Step 6: Final answer
    x = 615,195.30

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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.