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Finding the Fourth Proportional to 457,165.60, 686,137.20 and 204,834.40

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Solution

The fourth proportional to 457,165.60, 686,137.20 and 204,834.40 is: 307,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,165.60 : 686,137.20 = 204,834.40 : x
  2. Step 2: Convert to fraction form
    457,165.60/686,137.20 = 204,834.40/x
  3. Step 3: Cross multiply
    457,165.60x = 686,137.20 × 204,834.40
  4. Step 4: Simplify right side
    457,165.60x = 140,544,501,679.68
  5. Step 5: Solve for x
    x = 140,544,501,679.68/457,165.60
  6. Step 6: Final answer
    x = 307,425.80

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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.