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Finding the Fourth Proportional to 386,939.42, 580,408.36 and 102,658.47

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Solution

The fourth proportional to 386,939.42, 580,408.36 and 102,658.47 is: 153,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,939.42 : 580,408.36 = 102,658.47 : x
  2. Step 2: Convert to fraction form
    386,939.42/580,408.36 = 102,658.47/x
  3. Step 3: Cross multiply
    386,939.42x = 580,408.36 × 102,658.47
  4. Step 4: Simplify right side
    386,939.42x = 59,583,832,399.03
  5. Step 5: Solve for x
    x = 59,583,832,399.03/386,939.42
  6. Step 6: Final answer
    x = 153,987.50

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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.