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Finding the Fourth Proportional to 266,014.54, 399,022.26 and 213,043.43

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Solution

The fourth proportional to 266,014.54, 399,022.26 and 213,043.43 is: 319,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,014.54 : 399,022.26 = 213,043.43 : x
  2. Step 2: Convert to fraction form
    266,014.54/399,022.26 = 213,043.43/x
  3. Step 3: Cross multiply
    266,014.54x = 399,022.26 × 213,043.43
  4. Step 4: Simplify right side
    266,014.54x = 85,009,070,916.75
  5. Step 5: Solve for x
    x = 85,009,070,916.75/266,014.54
  6. Step 6: Final answer
    x = 319,565.51

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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.