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Finding the Fourth Proportional to 335,963.90, 463,596.48 and 206,881.70

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Solution

The fourth proportional to 335,963.90, 463,596.48 and 206,881.70 is: 285,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,963.90 : 463,596.48 = 206,881.70 : x
  2. Step 2: Convert to fraction form
    335,963.90/463,596.48 = 206,881.70/x
  3. Step 3: Cross multiply
    335,963.90x = 463,596.48 × 206,881.70
  4. Step 4: Simplify right side
    335,963.90x = 95,909,625,578.43
  5. Step 5: Solve for x
    x = 95,909,625,578.43/335,963.90
  6. Step 6: Final answer
    x = 285,475.98

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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.