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Finding the Fourth Proportional to 310,229.92, 464,426.34 and 191,519.56

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Solution

The fourth proportional to 310,229.92, 464,426.34 and 191,519.56 is: 286,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,229.92 : 464,426.34 = 191,519.56 : x
  2. Step 2: Convert to fraction form
    310,229.92/464,426.34 = 191,519.56/x
  3. Step 3: Cross multiply
    310,229.92x = 464,426.34 × 191,519.56
  4. Step 4: Simplify right side
    310,229.92x = 88,946,728,289.21
  5. Step 5: Solve for x
    x = 88,946,728,289.21/310,229.92
  6. Step 6: Final answer
    x = 286,712.28

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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.