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Finding the Fourth Proportional to 719,691.36, 993,169.20 and 397,421.76

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Solution

The fourth proportional to 719,691.36, 993,169.20 and 397,421.76 is: 548,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,691.36 : 993,169.20 = 397,421.76 : x
  2. Step 2: Convert to fraction form
    719,691.36/993,169.20 = 397,421.76/x
  3. Step 3: Cross multiply
    719,691.36x = 993,169.20 × 397,421.76
  4. Step 4: Simplify right side
    719,691.36x = 394,707,051,441.79
  5. Step 5: Solve for x
    x = 394,707,051,441.79/719,691.36
  6. Step 6: Final answer
    x = 548,439.34

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Double scale
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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.