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Finding the Fourth Proportional to 273,839.90, 410,392.68 and 213,123.49

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Solution

The fourth proportional to 273,839.90, 410,392.68 and 213,123.49 is: 319,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,839.90 : 410,392.68 = 213,123.49 : x
  2. Step 2: Convert to fraction form
    273,839.90/410,392.68 = 213,123.49/x
  3. Step 3: Cross multiply
    273,839.90x = 410,392.68 × 213,123.49
  4. Step 4: Simplify right side
    273,839.90x = 87,464,319,206.07
  5. Step 5: Solve for x
    x = 87,464,319,206.07/273,839.90
  6. Step 6: Final answer
    x = 319,399.47

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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.