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Finding the Fourth Proportional to 335,997, 463,675.86 and 185,103.72

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Solution

The fourth proportional to 335,997, 463,675.86 and 185,103.72 is: 255,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,997 : 463,675.86 = 185,103.72 : x
  2. Step 2: Convert to fraction form
    335,997/463,675.86 = 185,103.72/x
  3. Step 3: Cross multiply
    335,997x = 463,675.86 × 185,103.72
  4. Step 4: Simplify right side
    335,997x = 85,828,126,560.20
  5. Step 5: Solve for x
    x = 85,828,126,560.20/335,997
  6. Step 6: Final answer
    x = 255,443.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.