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Finding the Fourth Proportional to 339,766.50, 468,878.10 and 186,807.30

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Solution

The fourth proportional to 339,766.50, 468,878.10 and 186,807.30 is: 257,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,766.50 : 468,878.10 = 186,807.30 : x
  2. Step 2: Convert to fraction form
    339,766.50/468,878.10 = 186,807.30/x
  3. Step 3: Cross multiply
    339,766.50x = 468,878.10 × 186,807.30
  4. Step 4: Simplify right side
    339,766.50x = 87,589,851,890.13
  5. Step 5: Solve for x
    x = 87,589,851,890.13/339,766.50
  6. Step 6: Final answer
    x = 257,794.26

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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.