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Finding the Fourth Proportional to 509,378.30, 764,092.84 and 193,859.66

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Solution

The fourth proportional to 509,378.30, 764,092.84 and 193,859.66 is: 290,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,378.30 : 764,092.84 = 193,859.66 : x
  2. Step 2: Convert to fraction form
    509,378.30/764,092.84 = 193,859.66/x
  3. Step 3: Cross multiply
    509,378.30x = 764,092.84 × 193,859.66
  4. Step 4: Simplify right side
    509,378.30x = 148,126,778,170.83
  5. Step 5: Solve for x
    x = 148,126,778,170.83/509,378.30
  6. Step 6: Final answer
    x = 290,799.15

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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.