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Finding the Fourth Proportional to 338,005.44, 506,977.92 and 101,400.96

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Solution

The fourth proportional to 338,005.44, 506,977.92 and 101,400.96 is: 152,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,005.44 : 506,977.92 = 101,400.96 : x
  2. Step 2: Convert to fraction form
    338,005.44/506,977.92 = 101,400.96/x
  3. Step 3: Cross multiply
    338,005.44x = 506,977.92 × 101,400.96
  4. Step 4: Simplify right side
    338,005.44x = 51,408,047,786.80
  5. Step 5: Solve for x
    x = 51,408,047,786.80/338,005.44
  6. Step 6: Final answer
    x = 152,092.37

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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.