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Finding the Fourth Proportional to 322,415.60, 482,967.30 and 164,732.90

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Solution

The fourth proportional to 322,415.60, 482,967.30 and 164,732.90 is: 246,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,415.60 : 482,967.30 = 164,732.90 : x
  2. Step 2: Convert to fraction form
    322,415.60/482,967.30 = 164,732.90/x
  3. Step 3: Cross multiply
    322,415.60x = 482,967.30 × 164,732.90
  4. Step 4: Simplify right side
    322,415.60x = 79,560,603,934.17
  5. Step 5: Solve for x
    x = 79,560,603,934.17/322,415.60
  6. Step 6: Final answer
    x = 246,764.13

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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.