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Finding the Fourth Proportional to 335,851.72, 463,456.02 and 201,689.80

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Solution

The fourth proportional to 335,851.72, 463,456.02 and 201,689.80 is: 278,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,851.72 : 463,456.02 = 201,689.80 : x
  2. Step 2: Convert to fraction form
    335,851.72/463,456.02 = 201,689.80/x
  3. Step 3: Cross multiply
    335,851.72x = 463,456.02 × 201,689.80
  4. Step 4: Simplify right side
    335,851.72x = 93,474,351,982.60
  5. Step 5: Solve for x
    x = 93,474,351,982.60/335,851.72
  6. Step 6: Final answer
    x = 278,320.30

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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.