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Finding the Fourth Proportional to 321,875.56, 444,175.14 and 178,641.64

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Solution

The fourth proportional to 321,875.56, 444,175.14 and 178,641.64 is: 246,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,875.56 : 444,175.14 = 178,641.64 : x
  2. Step 2: Convert to fraction form
    321,875.56/444,175.14 = 178,641.64/x
  3. Step 3: Cross multiply
    321,875.56x = 444,175.14 × 178,641.64
  4. Step 4: Simplify right side
    321,875.56x = 79,348,175,456.83
  5. Step 5: Solve for x
    x = 79,348,175,456.83/321,875.56
  6. Step 6: Final answer
    x = 246,518.17

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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.