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Finding the Fourth Proportional to 329,845.82, 495,450.22 and 315,471.02

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Solution

The fourth proportional to 329,845.82, 495,450.22 and 315,471.02 is: 473,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,845.82 : 495,450.22 = 315,471.02 : x
  2. Step 2: Convert to fraction form
    329,845.82/495,450.22 = 315,471.02/x
  3. Step 3: Cross multiply
    329,845.82x = 495,450.22 × 315,471.02
  4. Step 4: Simplify right side
    329,845.82x = 156,300,186,262.62
  5. Step 5: Solve for x
    x = 156,300,186,262.62/329,845.82
  6. Step 6: Final answer
    x = 473,858.32

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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.