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Finding the Fourth Proportional to 422,596.96, 633,924.60 and 156,351.58

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Solution

The fourth proportional to 422,596.96, 633,924.60 and 156,351.58 is: 234,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,596.96 : 633,924.60 = 156,351.58 : x
  2. Step 2: Convert to fraction form
    422,596.96/633,924.60 = 156,351.58/x
  3. Step 3: Cross multiply
    422,596.96x = 633,924.60 × 156,351.58
  4. Step 4: Simplify right side
    422,596.96x = 99,115,112,810.87
  5. Step 5: Solve for x
    x = 99,115,112,810.87/422,596.96
  6. Step 6: Final answer
    x = 234,538.16

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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.