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Finding the Fourth Proportional to 306,593.82, 459,964.34 and 96,231.76

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Solution

The fourth proportional to 306,593.82, 459,964.34 and 96,231.76 is: 144,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,593.82 : 459,964.34 = 96,231.76 : x
  2. Step 2: Convert to fraction form
    306,593.82/459,964.34 = 96,231.76/x
  3. Step 3: Cross multiply
    306,593.82x = 459,964.34 × 96,231.76
  4. Step 4: Simplify right side
    306,593.82x = 44,263,176,705.24
  5. Step 5: Solve for x
    x = 44,263,176,705.24/306,593.82
  6. Step 6: Final answer
    x = 144,370.74

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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.