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Finding the Fourth Proportional to 360,100.72, 496,782.88 and 216,777.73

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Solution

The fourth proportional to 360,100.72, 496,782.88 and 216,777.73 is: 299,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,100.72 : 496,782.88 = 216,777.73 : x
  2. Step 2: Convert to fraction form
    360,100.72/496,782.88 = 216,777.73/x
  3. Step 3: Cross multiply
    360,100.72x = 496,782.88 × 216,777.73
  4. Step 4: Simplify right side
    360,100.72x = 107,691,465,029.26
  5. Step 5: Solve for x
    x = 107,691,465,029.26/360,100.72
  6. Step 6: Final answer
    x = 299,059.29

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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.