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Finding the Fourth Proportional to 347,932.32, 480,138.44 and 204,701.58

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Solution

The fourth proportional to 347,932.32, 480,138.44 and 204,701.58 is: 282,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,932.32 : 480,138.44 = 204,701.58 : x
  2. Step 2: Convert to fraction form
    347,932.32/480,138.44 = 204,701.58/x
  3. Step 3: Cross multiply
    347,932.32x = 480,138.44 × 204,701.58
  4. Step 4: Simplify right side
    347,932.32x = 98,285,097,286.74
  5. Step 5: Solve for x
    x = 98,285,097,286.74/347,932.32
  6. Step 6: Final answer
    x = 282,483.38

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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.