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Finding the Fourth Proportional to 461,915.85, 692,528.18 and 251,791.05

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Solution

The fourth proportional to 461,915.85, 692,528.18 and 251,791.05 is: 377,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,915.85 : 692,528.18 = 251,791.05 : x
  2. Step 2: Convert to fraction form
    461,915.85/692,528.18 = 251,791.05/x
  3. Step 3: Cross multiply
    461,915.85x = 692,528.18 × 251,791.05
  4. Step 4: Simplify right side
    461,915.85x = 174,372,396,337.83
  5. Step 5: Solve for x
    x = 174,372,396,337.83/461,915.85
  6. Step 6: Final answer
    x = 377,498.19

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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.