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Finding the Fourth Proportional to 332,507.16, 498,914.10 and 206,295.66

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Solution

The fourth proportional to 332,507.16, 498,914.10 and 206,295.66 is: 309,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,507.16 : 498,914.10 = 206,295.66 : x
  2. Step 2: Convert to fraction form
    332,507.16/498,914.10 = 206,295.66/x
  3. Step 3: Cross multiply
    332,507.16x = 498,914.10 × 206,295.66
  4. Step 4: Simplify right side
    332,507.16x = 102,923,813,542.81
  5. Step 5: Solve for x
    x = 102,923,813,542.81/332,507.16
  6. Step 6: Final answer
    x = 309,538.64

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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.