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Finding the Fourth Proportional to 551,072.30, 826,617.21 and 209,520.93

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Solution

The fourth proportional to 551,072.30, 826,617.21 and 209,520.93 is: 314,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,072.30 : 826,617.21 = 209,520.93 : x
  2. Step 2: Convert to fraction form
    551,072.30/826,617.21 = 209,520.93/x
  3. Step 3: Cross multiply
    551,072.30x = 826,617.21 × 209,520.93
  4. Step 4: Simplify right side
    551,072.30x = 173,193,606,593.21
  5. Step 5: Solve for x
    x = 173,193,606,593.21/551,072.30
  6. Step 6: Final answer
    x = 314,284.73

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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.