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Finding the Fourth Proportional to 647,134.70, 970,546.53 and 331,429.10

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Solution

The fourth proportional to 647,134.70, 970,546.53 and 331,429.10 is: 497,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,134.70 : 970,546.53 = 331,429.10 : x
  2. Step 2: Convert to fraction form
    647,134.70/970,546.53 = 331,429.10/x
  3. Step 3: Cross multiply
    647,134.70x = 970,546.53 × 331,429.10
  4. Step 4: Simplify right side
    647,134.70x = 321,667,362,946.02
  5. Step 5: Solve for x
    x = 321,667,362,946.02/647,134.70
  6. Step 6: Final answer
    x = 497,064.00

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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.