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Finding the Fourth Proportional to 313,260.30, 469,890.45 and 91,644.30

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Solution

The fourth proportional to 313,260.30, 469,890.45 and 91,644.30 is: 137,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,260.30 : 469,890.45 = 91,644.30 : x
  2. Step 2: Convert to fraction form
    313,260.30/469,890.45 = 91,644.30/x
  3. Step 3: Cross multiply
    313,260.30x = 469,890.45 × 91,644.30
  4. Step 4: Simplify right side
    313,260.30x = 43,062,781,366.94
  5. Step 5: Solve for x
    x = 43,062,781,366.94/313,260.30
  6. Step 6: Final answer
    x = 137,466.45

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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.