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Finding the Fourth Proportional to 643,647.60, 965,785 and 264,682.20

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Solution

The fourth proportional to 643,647.60, 965,785 and 264,682.20 is: 397,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,647.60 : 965,785 = 264,682.20 : x
  2. Step 2: Convert to fraction form
    643,647.60/965,785 = 264,682.20/x
  3. Step 3: Cross multiply
    643,647.60x = 965,785 × 264,682.20
  4. Step 4: Simplify right side
    643,647.60x = 255,626,098,527
  5. Step 5: Solve for x
    x = 255,626,098,527/643,647.60
  6. Step 6: Final answer
    x = 397,152.26

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