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Finding the Fourth Proportional to 338,081.44, 507,133.92 and 160,496.96

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Solution

The fourth proportional to 338,081.44, 507,133.92 and 160,496.96 is: 240,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,081.44 : 507,133.92 = 160,496.96 : x
  2. Step 2: Convert to fraction form
    338,081.44/507,133.92 = 160,496.96/x
  3. Step 3: Cross multiply
    338,081.44x = 507,133.92 × 160,496.96
  4. Step 4: Simplify right side
    338,081.44x = 81,393,452,472.88
  5. Step 5: Solve for x
    x = 81,393,452,472.88/338,081.44
  6. Step 6: Final answer
    x = 240,751.02

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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.