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Finding the Fourth Proportional to 275,430.40, 413,203.20 and 88,460.80

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Solution

The fourth proportional to 275,430.40, 413,203.20 and 88,460.80 is: 132,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,430.40 : 413,203.20 = 88,460.80 : x
  2. Step 2: Convert to fraction form
    275,430.40/413,203.20 = 88,460.80/x
  3. Step 3: Cross multiply
    275,430.40x = 413,203.20 × 88,460.80
  4. Step 4: Simplify right side
    275,430.40x = 36,552,285,634.56
  5. Step 5: Solve for x
    x = 36,552,285,634.56/275,430.40
  6. Step 6: Final answer
    x = 132,709.70

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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.