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Finding the Fourth Proportional to 372,047.72, 557,458.14 and 214,408.68

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Solution

The fourth proportional to 372,047.72, 557,458.14 and 214,408.68 is: 321,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,047.72 : 557,458.14 = 214,408.68 : x
  2. Step 2: Convert to fraction form
    372,047.72/557,458.14 = 214,408.68/x
  3. Step 3: Cross multiply
    372,047.72x = 557,458.14 × 214,408.68
  4. Step 4: Simplify right side
    372,047.72x = 119,523,863,952.66
  5. Step 5: Solve for x
    x = 119,523,863,952.66/372,047.72
  6. Step 6: Final answer
    x = 321,259.50

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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.