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Finding the Fourth Proportional to 334,159.83, 461,039.81 and 204,965.54

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Solution

The fourth proportional to 334,159.83, 461,039.81 and 204,965.54 is: 282,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,159.83 : 461,039.81 = 204,965.54 : x
  2. Step 2: Convert to fraction form
    334,159.83/461,039.81 = 204,965.54/x
  3. Step 3: Cross multiply
    334,159.83x = 461,039.81 × 204,965.54
  4. Step 4: Simplify right side
    334,159.83x = 94,497,273,618.15
  5. Step 5: Solve for x
    x = 94,497,273,618.15/334,159.83
  6. Step 6: Final answer
    x = 282,790.64

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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.