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Finding the Fourth Proportional to 422,395.84, 633,596.40 and 102,546.88

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Solution

The fourth proportional to 422,395.84, 633,596.40 and 102,546.88 is: 153,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,395.84 : 633,596.40 = 102,546.88 : x
  2. Step 2: Convert to fraction form
    422,395.84/633,596.40 = 102,546.88/x
  3. Step 3: Cross multiply
    422,395.84x = 633,596.40 × 102,546.88
  4. Step 4: Simplify right side
    422,395.84x = 64,973,333,999.23
  5. Step 5: Solve for x
    x = 64,973,333,999.23/422,395.84
  6. Step 6: Final answer
    x = 153,820.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.