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Finding the Fourth Proportional to 457,226.40, 686,073 and 220,771.20

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Solution

The fourth proportional to 457,226.40, 686,073 and 220,771.20 is: 331,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,226.40 : 686,073 = 220,771.20 : x
  2. Step 2: Convert to fraction form
    457,226.40/686,073 = 220,771.20/x
  3. Step 3: Cross multiply
    457,226.40x = 686,073 × 220,771.20
  4. Step 4: Simplify right side
    457,226.40x = 151,465,159,497.60
  5. Step 5: Solve for x
    x = 151,465,159,497.60/457,226.40
  6. Step 6: Final answer
    x = 331,269.50

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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.