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Finding the Fourth Proportional to 788,074, 1,182,277.20 and 255,553.64

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Solution

The fourth proportional to 788,074, 1,182,277.20 and 255,553.64 is: 383,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,074 : 1,182,277.20 = 255,553.64 : x
  2. Step 2: Convert to fraction form
    788,074/1,182,277.20 = 255,553.64/x
  3. Step 3: Cross multiply
    788,074x = 1,182,277.20 × 255,553.64
  4. Step 4: Simplify right side
    788,074x = 302,135,241,949.01
  5. Step 5: Solve for x
    x = 302,135,241,949.01/788,074
  6. Step 6: Final answer
    x = 383,384.35

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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.