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Finding the Fourth Proportional to 309,876.40, 464,816.66 and 85,260.56

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Solution

The fourth proportional to 309,876.40, 464,816.66 and 85,260.56 is: 127,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,876.40 : 464,816.66 = 85,260.56 : x
  2. Step 2: Convert to fraction form
    309,876.40/464,816.66 = 85,260.56/x
  3. Step 3: Cross multiply
    309,876.40x = 464,816.66 × 85,260.56
  4. Step 4: Simplify right side
    309,876.40x = 39,630,528,728.93
  5. Step 5: Solve for x
    x = 39,630,528,728.93/309,876.40
  6. Step 6: Final answer
    x = 127,891.41

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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.