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Finding the Fourth Proportional to 381,828.56, 572,698.36 and 101,367.60

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Solution

The fourth proportional to 381,828.56, 572,698.36 and 101,367.60 is: 152,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,828.56 : 572,698.36 = 101,367.60 : x
  2. Step 2: Convert to fraction form
    381,828.56/572,698.36 = 101,367.60/x
  3. Step 3: Cross multiply
    381,828.56x = 572,698.36 × 101,367.60
  4. Step 4: Simplify right side
    381,828.56x = 58,053,058,277.14
  5. Step 5: Solve for x
    x = 58,053,058,277.14/381,828.56
  6. Step 6: Final answer
    x = 152,039.59

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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.