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Finding the Fourth Proportional to 788,793.50, 1,182,599.76 and 255,996.56

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Solution

The fourth proportional to 788,793.50, 1,182,599.76 and 255,996.56 is: 383,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,793.50 : 1,182,599.76 = 255,996.56 : x
  2. Step 2: Convert to fraction form
    788,793.50/1,182,599.76 = 255,996.56/x
  3. Step 3: Cross multiply
    788,793.50x = 1,182,599.76 × 255,996.56
  4. Step 4: Simplify right side
    788,793.50x = 302,741,470,416.83
  5. Step 5: Solve for x
    x = 302,741,470,416.83/788,793.50
  6. Step 6: Final answer
    x = 383,803.20

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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.