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Finding the Fourth Proportional to 352,002.10, 494,047.10 and 352,002.10

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Solution

The fourth proportional to 352,002.10, 494,047.10 and 352,002.10 is: 494,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,002.10 : 494,047.10 = 352,002.10 : x
  2. Step 2: Convert to fraction form
    352,002.10/494,047.10 = 352,002.10/x
  3. Step 3: Cross multiply
    352,002.10x = 494,047.10 × 352,002.10
  4. Step 4: Simplify right side
    352,002.10x = 173,905,616,698.91
  5. Step 5: Solve for x
    x = 173,905,616,698.91/352,002.10
  6. Step 6: Final answer
    x = 494,047.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.