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Finding the Fourth Proportional to 414,337.78, 621,504.90 and 114,817.50

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Solution

The fourth proportional to 414,337.78, 621,504.90 and 114,817.50 is: 172,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,337.78 : 621,504.90 = 114,817.50 : x
  2. Step 2: Convert to fraction form
    414,337.78/621,504.90 = 114,817.50/x
  3. Step 3: Cross multiply
    414,337.78x = 621,504.90 × 114,817.50
  4. Step 4: Simplify right side
    414,337.78x = 71,359,638,855.75
  5. Step 5: Solve for x
    x = 71,359,638,855.75/414,337.78
  6. Step 6: Final answer
    x = 172,225.76

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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.