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Finding the Fourth Proportional to 334,155.83, 461,034.29 and 204,961.54

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Solution

The fourth proportional to 334,155.83, 461,034.29 and 204,961.54 is: 282,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,155.83 : 461,034.29 = 204,961.54 : x
  2. Step 2: Convert to fraction form
    334,155.83/461,034.29 = 204,961.54/x
  3. Step 3: Cross multiply
    334,155.83x = 461,034.29 × 204,961.54
  4. Step 4: Simplify right side
    334,155.83x = 94,494,298,583.69
  5. Step 5: Solve for x
    x = 94,494,298,583.69/334,155.83
  6. Step 6: Final answer
    x = 282,785.13

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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.