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Finding the Fourth Proportional to 307,947.40, 462,125.90 and 174,827.40

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Solution

The fourth proportional to 307,947.40, 462,125.90 and 174,827.40 is: 262,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,947.40 : 462,125.90 = 174,827.40 : x
  2. Step 2: Convert to fraction form
    307,947.40/462,125.90 = 174,827.40/x
  3. Step 3: Cross multiply
    307,947.40x = 462,125.90 × 174,827.40
  4. Step 4: Simplify right side
    307,947.40x = 80,792,269,569.66
  5. Step 5: Solve for x
    x = 80,792,269,569.66/307,947.40
  6. Step 6: Final answer
    x = 262,357.37

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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.