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Finding the Fourth Proportional to 462,857.64, 694,680.96 and 182,571.72

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Solution

The fourth proportional to 462,857.64, 694,680.96 and 182,571.72 is: 274,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,857.64 : 694,680.96 = 182,571.72 : x
  2. Step 2: Convert to fraction form
    462,857.64/694,680.96 = 182,571.72/x
  3. Step 3: Cross multiply
    462,857.64x = 694,680.96 × 182,571.72
  4. Step 4: Simplify right side
    462,857.64x = 126,829,097,718.45
  5. Step 5: Solve for x
    x = 126,829,097,718.45/462,857.64
  6. Step 6: Final answer
    x = 274,013.19

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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.