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Finding the Fourth Proportional to 339,077.40, 508,701.15 and 149,573.85

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Solution

The fourth proportional to 339,077.40, 508,701.15 and 149,573.85 is: 224,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,077.40 : 508,701.15 = 149,573.85 : x
  2. Step 2: Convert to fraction form
    339,077.40/508,701.15 = 149,573.85/x
  3. Step 3: Cross multiply
    339,077.40x = 508,701.15 × 149,573.85
  4. Step 4: Simplify right side
    339,077.40x = 76,088,389,504.93
  5. Step 5: Solve for x
    x = 76,088,389,504.93/339,077.40
  6. Step 6: Final answer
    x = 224,398.29

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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.