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Finding the Fourth Proportional to 462,953.78, 694,486.23 and 163,372.50

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Solution

The fourth proportional to 462,953.78, 694,486.23 and 163,372.50 is: 245,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,953.78 : 694,486.23 = 163,372.50 : x
  2. Step 2: Convert to fraction form
    462,953.78/694,486.23 = 163,372.50/x
  3. Step 3: Cross multiply
    462,953.78x = 694,486.23 × 163,372.50
  4. Step 4: Simplify right side
    462,953.78x = 113,459,951,610.68
  5. Step 5: Solve for x
    x = 113,459,951,610.68/462,953.78
  6. Step 6: Final answer
    x = 245,078.36

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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.