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Finding the Fourth Proportional to 286,356.27, 429,531.67 and 174,067.50

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Solution

The fourth proportional to 286,356.27, 429,531.67 and 174,067.50 is: 261,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,356.27 : 429,531.67 = 174,067.50 : x
  2. Step 2: Convert to fraction form
    286,356.27/429,531.67 = 174,067.50/x
  3. Step 3: Cross multiply
    286,356.27x = 429,531.67 × 174,067.50
  4. Step 4: Simplify right side
    286,356.27x = 74,767,503,967.73
  5. Step 5: Solve for x
    x = 74,767,503,967.73/286,356.27
  6. Step 6: Final answer
    x = 261,099.59

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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.