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Finding the Fourth Proportional to 411,199.57, 615,841.31 and 399,849.04

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Solution

The fourth proportional to 411,199.57, 615,841.31 and 399,849.04 is: 598,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,199.57 : 615,841.31 = 399,849.04 : x
  2. Step 2: Convert to fraction form
    411,199.57/615,841.31 = 399,849.04/x
  3. Step 3: Cross multiply
    411,199.57x = 615,841.31 × 399,849.04
  4. Step 4: Simplify right side
    411,199.57x = 246,243,558,365.27
  5. Step 5: Solve for x
    x = 246,243,558,365.27/411,199.57
  6. Step 6: Final answer
    x = 598,841.96

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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.