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Finding the Fourth Proportional to 458,969.94, 688,217.25 and 206,032.59

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Solution

The fourth proportional to 458,969.94, 688,217.25 and 206,032.59 is: 308,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,969.94 : 688,217.25 = 206,032.59 : x
  2. Step 2: Convert to fraction form
    458,969.94/688,217.25 = 206,032.59/x
  3. Step 3: Cross multiply
    458,969.94x = 688,217.25 × 206,032.59
  4. Step 4: Simplify right side
    458,969.94x = 141,795,182,500.18
  5. Step 5: Solve for x
    x = 141,795,182,500.18/458,969.94
  6. Step 6: Final answer
    x = 308,942.20

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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.