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Finding the Fourth Proportional to 300,294.56, 414,364.56 and 255,155.36

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Solution

The fourth proportional to 300,294.56, 414,364.56 and 255,155.36 is: 352,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,294.56 : 414,364.56 = 255,155.36 : x
  2. Step 2: Convert to fraction form
    300,294.56/414,364.56 = 255,155.36/x
  3. Step 3: Cross multiply
    300,294.56x = 414,364.56 × 255,155.36
  4. Step 4: Simplify right side
    300,294.56x = 105,727,338,478.04
  5. Step 5: Solve for x
    x = 105,727,338,478.04/300,294.56
  6. Step 6: Final answer
    x = 352,078.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.