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Finding the Fourth Proportional to 330,204.44, 455,730.31 and 185,020.05

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Solution

The fourth proportional to 330,204.44, 455,730.31 and 185,020.05 is: 255,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,204.44 : 455,730.31 = 185,020.05 : x
  2. Step 2: Convert to fraction form
    330,204.44/455,730.31 = 185,020.05/x
  3. Step 3: Cross multiply
    330,204.44x = 455,730.31 × 185,020.05
  4. Step 4: Simplify right side
    330,204.44x = 84,319,243,208.85
  5. Step 5: Solve for x
    x = 84,319,243,208.85/330,204.44
  6. Step 6: Final answer
    x = 255,354.66

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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.