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Finding the Fourth Proportional to 462,848.64, 694,667.46 and 182,562.72

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Solution

The fourth proportional to 462,848.64, 694,667.46 and 182,562.72 is: 273,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,848.64 : 694,667.46 = 182,562.72 : x
  2. Step 2: Convert to fraction form
    462,848.64/694,667.46 = 182,562.72/x
  3. Step 3: Cross multiply
    462,848.64x = 694,667.46 × 182,562.72
  4. Step 4: Simplify right side
    462,848.64x = 126,820,380,993.09
  5. Step 5: Solve for x
    x = 126,820,380,993.09/462,848.64
  6. Step 6: Final answer
    x = 273,999.68

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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.