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Finding the Fourth Proportional to 462,858.64, 694,682.46 and 182,572.72

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Solution

The fourth proportional to 462,858.64, 694,682.46 and 182,572.72 is: 274,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,858.64 : 694,682.46 = 182,572.72 : x
  2. Step 2: Convert to fraction form
    462,858.64/694,682.46 = 182,572.72/x
  3. Step 3: Cross multiply
    462,858.64x = 694,682.46 × 182,572.72
  4. Step 4: Simplify right side
    462,858.64x = 126,830,066,258.49
  5. Step 5: Solve for x
    x = 126,830,066,258.49/462,858.64
  6. Step 6: Final answer
    x = 274,014.69

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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.