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Finding the Fourth Proportional to 300,416.68, 414,580.98 and 185,712.04

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Solution

The fourth proportional to 300,416.68, 414,580.98 and 185,712.04 is: 256,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,416.68 : 414,580.98 = 185,712.04 : x
  2. Step 2: Convert to fraction form
    300,416.68/414,580.98 = 185,712.04/x
  3. Step 3: Cross multiply
    300,416.68x = 414,580.98 × 185,712.04
  4. Step 4: Simplify right side
    300,416.68x = 76,992,679,541.00
  5. Step 5: Solve for x
    x = 76,992,679,541.00/300,416.68
  6. Step 6: Final answer
    x = 256,286.30

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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.