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Finding the Fourth Proportional to 372,049.72, 557,461.14 and 214,410.68

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Solution

The fourth proportional to 372,049.72, 557,461.14 and 214,410.68 is: 321,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,049.72 : 557,461.14 = 214,410.68 : x
  2. Step 2: Convert to fraction form
    372,049.72/557,461.14 = 214,410.68/x
  3. Step 3: Cross multiply
    372,049.72x = 557,461.14 × 214,410.68
  4. Step 4: Simplify right side
    372,049.72x = 119,525,622,100.98
  5. Step 5: Solve for x
    x = 119,525,622,100.98/372,049.72
  6. Step 6: Final answer
    x = 321,262.50

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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.