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Finding the Fourth Proportional to 309,557.76, 464,337.24 and 84,921.27

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Solution

The fourth proportional to 309,557.76, 464,337.24 and 84,921.27 is: 127,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,557.76 : 464,337.24 = 84,921.27 : x
  2. Step 2: Convert to fraction form
    309,557.76/464,337.24 = 84,921.27/x
  3. Step 3: Cross multiply
    309,557.76x = 464,337.24 × 84,921.27
  4. Step 4: Simplify right side
    309,557.76x = 39,432,108,129.09
  5. Step 5: Solve for x
    x = 39,432,108,129.09/309,557.76
  6. Step 6: Final answer
    x = 127,382.07

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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.