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Finding the Fourth Proportional to 335,970.38, 463,605.45 and 206,888.18

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Solution

The fourth proportional to 335,970.38, 463,605.45 and 206,888.18 is: 285,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,970.38 : 463,605.45 = 206,888.18 : x
  2. Step 2: Convert to fraction form
    335,970.38/463,605.45 = 206,888.18/x
  3. Step 3: Cross multiply
    335,970.38x = 463,605.45 × 206,888.18
  4. Step 4: Simplify right side
    335,970.38x = 95,914,487,788.58
  5. Step 5: Solve for x
    x = 95,914,487,788.58/335,970.38
  6. Step 6: Final answer
    x = 285,484.95

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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.