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Finding the Fourth Proportional to 777,798.40, 1,166,697.60 and 216,832.90

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Solution

The fourth proportional to 777,798.40, 1,166,697.60 and 216,832.90 is: 325,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,798.40 : 1,166,697.60 = 216,832.90 : x
  2. Step 2: Convert to fraction form
    777,798.40/1,166,697.60 = 216,832.90/x
  3. Step 3: Cross multiply
    777,798.40x = 1,166,697.60 × 216,832.90
  4. Step 4: Simplify right side
    777,798.40x = 252,978,424,031.04
  5. Step 5: Solve for x
    x = 252,978,424,031.04/777,798.40
  6. Step 6: Final answer
    x = 325,249.35

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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.