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Finding the Fourth Proportional to 422,013.63, 633,017.71 and 106,470.84

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Solution

The fourth proportional to 422,013.63, 633,017.71 and 106,470.84 is: 159,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,013.63 : 633,017.71 = 106,470.84 : x
  2. Step 2: Convert to fraction form
    422,013.63/633,017.71 = 106,470.84/x
  3. Step 3: Cross multiply
    422,013.63x = 633,017.71 × 106,470.84
  4. Step 4: Simplify right side
    422,013.63x = 67,397,927,318.58
  5. Step 5: Solve for x
    x = 67,397,927,318.58/422,013.63
  6. Step 6: Final answer
    x = 159,705.57

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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.