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Finding the Fourth Proportional to 281,677.83, 422,232.44 and 176,570.61

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Solution

The fourth proportional to 281,677.83, 422,232.44 and 176,570.61 is: 264,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,677.83 : 422,232.44 = 176,570.61 : x
  2. Step 2: Convert to fraction form
    281,677.83/422,232.44 = 176,570.61/x
  3. Step 3: Cross multiply
    281,677.83x = 422,232.44 × 176,570.61
  4. Step 4: Simplify right side
    281,677.83x = 74,553,838,609.74
  5. Step 5: Solve for x
    x = 74,553,838,609.74/281,677.83
  6. Step 6: Final answer
    x = 264,677.69

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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.