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Finding the Fourth Proportional to 494,268.38, 681,959.54 and 290,254.08

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Solution

The fourth proportional to 494,268.38, 681,959.54 and 290,254.08 is: 400,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,268.38 : 681,959.54 = 290,254.08 : x
  2. Step 2: Convert to fraction form
    494,268.38/681,959.54 = 290,254.08/x
  3. Step 3: Cross multiply
    494,268.38x = 681,959.54 × 290,254.08
  4. Step 4: Simplify right side
    494,268.38x = 197,941,537,428.65
  5. Step 5: Solve for x
    x = 197,941,537,428.65/494,268.38
  6. Step 6: Final answer
    x = 400,473.81

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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.