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Finding the Fourth Proportional to 448,054.92, 671,936.31 and 163,680.12

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Solution

The fourth proportional to 448,054.92, 671,936.31 and 163,680.12 is: 245,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,054.92 : 671,936.31 = 163,680.12 : x
  2. Step 2: Convert to fraction form
    448,054.92/671,936.31 = 163,680.12/x
  3. Step 3: Cross multiply
    448,054.92x = 671,936.31 × 163,680.12
  4. Step 4: Simplify right side
    448,054.92x = 109,982,615,853.16
  5. Step 5: Solve for x
    x = 109,982,615,853.16/448,054.92
  6. Step 6: Final answer
    x = 245,466.82

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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.