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Finding the Fourth Proportional to 414,314.72, 621,658.92 and 186,667.04

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Solution

The fourth proportional to 414,314.72, 621,658.92 and 186,667.04 is: 280,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,314.72 : 621,658.92 = 186,667.04 : x
  2. Step 2: Convert to fraction form
    414,314.72/621,658.92 = 186,667.04/x
  3. Step 3: Cross multiply
    414,314.72x = 621,658.92 × 186,667.04
  4. Step 4: Simplify right side
    414,314.72x = 116,043,230,486.00
  5. Step 5: Solve for x
    x = 116,043,230,486.00/414,314.72
  6. Step 6: Final answer
    x = 280,084.74

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Why These Related Problems?

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