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Finding the Fourth Proportional to 339,403.80, 508,976.10 and 102,667.80

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Solution

The fourth proportional to 339,403.80, 508,976.10 and 102,667.80 is: 153,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,403.80 : 508,976.10 = 102,667.80 : x
  2. Step 2: Convert to fraction form
    339,403.80/508,976.10 = 102,667.80/x
  3. Step 3: Cross multiply
    339,403.80x = 508,976.10 × 102,667.80
  4. Step 4: Simplify right side
    339,403.80x = 52,255,456,439.58
  5. Step 5: Solve for x
    x = 52,255,456,439.58/339,403.80
  6. Step 6: Final answer
    x = 153,962.50

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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.