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Finding the Fourth Proportional to 414,034.40, 619,739.40 and 295,936.40

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Solution

The fourth proportional to 414,034.40, 619,739.40 and 295,936.40 is: 442,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,034.40 : 619,739.40 = 295,936.40 : x
  2. Step 2: Convert to fraction form
    414,034.40/619,739.40 = 295,936.40/x
  3. Step 3: Cross multiply
    414,034.40x = 619,739.40 × 295,936.40
  4. Step 4: Simplify right side
    414,034.40x = 183,403,446,974.16
  5. Step 5: Solve for x
    x = 183,403,446,974.16/414,034.40
  6. Step 6: Final answer
    x = 442,966.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.