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Finding the Fourth Proportional to 274,295.40, 411,476 and 96,765.80

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Solution

The fourth proportional to 274,295.40, 411,476 and 96,765.80 is: 145,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,295.40 : 411,476 = 96,765.80 : x
  2. Step 2: Convert to fraction form
    274,295.40/411,476 = 96,765.80/x
  3. Step 3: Cross multiply
    274,295.40x = 411,476 × 96,765.80
  4. Step 4: Simplify right side
    274,295.40x = 39,816,804,320.80
  5. Step 5: Solve for x
    x = 39,816,804,320.80/274,295.40
  6. Step 6: Final answer
    x = 145,160.31

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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.