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Finding the Fourth Proportional to 461,302.60, 692,148.30 and 251,091.40

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Solution

The fourth proportional to 461,302.60, 692,148.30 and 251,091.40 is: 376,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,302.60 : 692,148.30 = 251,091.40 : x
  2. Step 2: Convert to fraction form
    461,302.60/692,148.30 = 251,091.40/x
  3. Step 3: Cross multiply
    461,302.60x = 692,148.30 × 251,091.40
  4. Step 4: Simplify right side
    461,302.60x = 173,792,485,654.62
  5. Step 5: Solve for x
    x = 173,792,485,654.62/461,302.60
  6. Step 6: Final answer
    x = 376,742.91

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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.