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Finding the Fourth Proportional to 377,282.40, 520,641.90 and 205,203.78

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Solution

The fourth proportional to 377,282.40, 520,641.90 and 205,203.78 is: 283,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,282.40 : 520,641.90 = 205,203.78 : x
  2. Step 2: Convert to fraction form
    377,282.40/520,641.90 = 205,203.78/x
  3. Step 3: Cross multiply
    377,282.40x = 520,641.90 × 205,203.78
  4. Step 4: Simplify right side
    377,282.40x = 106,837,685,906.38
  5. Step 5: Solve for x
    x = 106,837,685,906.38/377,282.40
  6. Step 6: Final answer
    x = 283,176.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.