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Finding the Fourth Proportional to 632,456.70, 947,164.67 and 361,764.42

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Solution

The fourth proportional to 632,456.70, 947,164.67 and 361,764.42 is: 541,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,456.70 : 947,164.67 = 361,764.42 : x
  2. Step 2: Convert to fraction form
    632,456.70/947,164.67 = 361,764.42/x
  3. Step 3: Cross multiply
    632,456.70x = 947,164.67 × 361,764.42
  4. Step 4: Simplify right side
    632,456.70x = 342,650,477,487.04
  5. Step 5: Solve for x
    x = 342,650,477,487.04/632,456.70
  6. Step 6: Final answer
    x = 541,776.97

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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.