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Finding the Fourth Proportional to 632,465.44, 948,764.76 and 206,034.64

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Solution

The fourth proportional to 632,465.44, 948,764.76 and 206,034.64 is: 309,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,465.44 : 948,764.76 = 206,034.64 : x
  2. Step 2: Convert to fraction form
    632,465.44/948,764.76 = 206,034.64/x
  3. Step 3: Cross multiply
    632,465.44x = 948,764.76 × 206,034.64
  4. Step 4: Simplify right side
    632,465.44x = 195,478,405,771.29
  5. Step 5: Solve for x
    x = 195,478,405,771.29/632,465.44
  6. Step 6: Final answer
    x = 309,073.66

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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.