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Finding the Fourth Proportional to 347,033.20, 520,063.80 and 276,077.20

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Solution

The fourth proportional to 347,033.20, 520,063.80 and 276,077.20 is: 413,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,033.20 : 520,063.80 = 276,077.20 : x
  2. Step 2: Convert to fraction form
    347,033.20/520,063.80 = 276,077.20/x
  3. Step 3: Cross multiply
    347,033.20x = 520,063.80 × 276,077.20
  4. Step 4: Simplify right side
    347,033.20x = 143,577,757,725.36
  5. Step 5: Solve for x
    x = 143,577,757,725.36/347,033.20
  6. Step 6: Final answer
    x = 413,729.17

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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.