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Finding the Fourth Proportional to 230,588.99, 343,591.10 and 205,435.76

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Solution

The fourth proportional to 230,588.99, 343,591.10 and 205,435.76 is: 306,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,588.99 : 343,591.10 = 205,435.76 : x
  2. Step 2: Convert to fraction form
    230,588.99/343,591.10 = 205,435.76/x
  3. Step 3: Cross multiply
    230,588.99x = 343,591.10 × 205,435.76
  4. Step 4: Simplify right side
    230,588.99x = 70,585,896,012.60
  5. Step 5: Solve for x
    x = 70,585,896,012.60/230,588.99
  6. Step 6: Final answer
    x = 306,111.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.