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Finding the Fourth Proportional to 275,432.84, 413,324.04 and 117,662.48

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Solution

The fourth proportional to 275,432.84, 413,324.04 and 117,662.48 is: 176,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,432.84 : 413,324.04 = 117,662.48 : x
  2. Step 2: Convert to fraction form
    275,432.84/413,324.04 = 117,662.48/x
  3. Step 3: Cross multiply
    275,432.84x = 413,324.04 × 117,662.48
  4. Step 4: Simplify right side
    275,432.84x = 48,632,731,590.02
  5. Step 5: Solve for x
    x = 48,632,731,590.02/275,432.84
  6. Step 6: Final answer
    x = 176,568.38

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1.5x scale

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.