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Finding the Fourth Proportional to 331,624.85, 457,512.38 and 204,079.01

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Solution

The fourth proportional to 331,624.85, 457,512.38 and 204,079.01 is: 281,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,624.85 : 457,512.38 = 204,079.01 : x
  2. Step 2: Convert to fraction form
    331,624.85/457,512.38 = 204,079.01/x
  3. Step 3: Cross multiply
    331,624.85x = 457,512.38 × 204,079.01
  4. Step 4: Simplify right side
    331,624.85x = 93,368,670,265.19
  5. Step 5: Solve for x
    x = 93,368,670,265.19/331,624.85
  6. Step 6: Final answer
    x = 281,549.08

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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.