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Finding the Fourth Proportional to 323,990.32, 447,100.38 and 178,809.76

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Solution

The fourth proportional to 323,990.32, 447,100.38 and 178,809.76 is: 246,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,990.32 : 447,100.38 = 178,809.76 : x
  2. Step 2: Convert to fraction form
    323,990.32/447,100.38 = 178,809.76/x
  3. Step 3: Cross multiply
    323,990.32x = 447,100.38 × 178,809.76
  4. Step 4: Simplify right side
    323,990.32x = 79,945,911,643.71
  5. Step 5: Solve for x
    x = 79,945,911,643.71/323,990.32
  6. Step 6: Final answer
    x = 246,754.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.