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Finding the Fourth Proportional to 338,817.72, 508,273.38 and 114,242.34

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Solution

The fourth proportional to 338,817.72, 508,273.38 and 114,242.34 is: 171,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,817.72 : 508,273.38 = 114,242.34 : x
  2. Step 2: Convert to fraction form
    338,817.72/508,273.38 = 114,242.34/x
  3. Step 3: Cross multiply
    338,817.72x = 508,273.38 × 114,242.34
  4. Step 4: Simplify right side
    338,817.72x = 58,066,340,290.91
  5. Step 5: Solve for x
    x = 58,066,340,290.91/338,817.72
  6. Step 6: Final answer
    x = 171,379.29

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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.