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Finding the Fourth Proportional to 299,542.85, 413,422.52 and 177,030.23

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Solution

The fourth proportional to 299,542.85, 413,422.52 and 177,030.23 is: 244,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,542.85 : 413,422.52 = 177,030.23 : x
  2. Step 2: Convert to fraction form
    299,542.85/413,422.52 = 177,030.23/x
  3. Step 3: Cross multiply
    299,542.85x = 413,422.52 × 177,030.23
  4. Step 4: Simplify right side
    299,542.85x = 73,188,282,178.24
  5. Step 5: Solve for x
    x = 73,188,282,178.24/299,542.85
  6. Step 6: Final answer
    x = 244,333.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.