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Finding the Fourth Proportional to 326,088.26, 449,811.15 and 205,037.90

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Solution

The fourth proportional to 326,088.26, 449,811.15 and 205,037.90 is: 282,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,088.26 : 449,811.15 = 205,037.90 : x
  2. Step 2: Convert to fraction form
    326,088.26/449,811.15 = 205,037.90/x
  3. Step 3: Cross multiply
    326,088.26x = 449,811.15 × 205,037.90
  4. Step 4: Simplify right side
    326,088.26x = 92,228,333,592.59
  5. Step 5: Solve for x
    x = 92,228,333,592.59/326,088.26
  6. Step 6: Final answer
    x = 282,832.43

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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.