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Finding the Fourth Proportional to 335,537.04, 462,801.84 and 206,306.16

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Solution

The fourth proportional to 335,537.04, 462,801.84 and 206,306.16 is: 284,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,537.04 : 462,801.84 = 206,306.16 : x
  2. Step 2: Convert to fraction form
    335,537.04/462,801.84 = 206,306.16/x
  3. Step 3: Cross multiply
    335,537.04x = 462,801.84 × 206,306.16
  4. Step 4: Simplify right side
    335,537.04x = 95,478,870,451.33
  5. Step 5: Solve for x
    x = 95,478,870,451.33/335,537.04
  6. Step 6: Final answer
    x = 284,555.38

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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.