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Finding the Fourth Proportional to 580,704.42, 801,297.78 and 338,931.54

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Solution

The fourth proportional to 580,704.42, 801,297.78 and 338,931.54 is: 467,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,704.42 : 801,297.78 = 338,931.54 : x
  2. Step 2: Convert to fraction form
    580,704.42/801,297.78 = 338,931.54/x
  3. Step 3: Cross multiply
    580,704.42x = 801,297.78 × 338,931.54
  4. Step 4: Simplify right side
    580,704.42x = 271,585,090,573.98
  5. Step 5: Solve for x
    x = 271,585,090,573.98/580,704.42
  6. Step 6: Final answer
    x = 467,682.15

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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.