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Finding the Fourth Proportional to 466,858.27, 700,463.89 and 182,751.86

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Solution

The fourth proportional to 466,858.27, 700,463.89 and 182,751.86 is: 274,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,858.27 : 700,463.89 = 182,751.86 : x
  2. Step 2: Convert to fraction form
    466,858.27/700,463.89 = 182,751.86/x
  3. Step 3: Cross multiply
    466,858.27x = 700,463.89 × 182,751.86
  4. Step 4: Simplify right side
    466,858.27x = 128,011,078,760.34
  5. Step 5: Solve for x
    x = 128,011,078,760.34/466,858.27
  6. Step 6: Final answer
    x = 274,196.88

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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.