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Finding the Fourth Proportional to 422,384.76, 633,579.28 and 106,841.97

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Solution

The fourth proportional to 422,384.76, 633,579.28 and 106,841.97 is: 160,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,384.76 : 633,579.28 = 106,841.97 : x
  2. Step 2: Convert to fraction form
    422,384.76/633,579.28 = 106,841.97/x
  3. Step 3: Cross multiply
    422,384.76x = 633,579.28 × 106,841.97
  4. Step 4: Simplify right side
    422,384.76x = 67,692,858,159.28
  5. Step 5: Solve for x
    x = 67,692,858,159.28/422,384.76
  6. Step 6: Final answer
    x = 160,263.50

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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.