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Finding the Fourth Proportional to 643,797.60, 965,312.40 and 394,658.40

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Solution

The fourth proportional to 643,797.60, 965,312.40 and 394,658.40 is: 591,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,797.60 : 965,312.40 = 394,658.40 : x
  2. Step 2: Convert to fraction form
    643,797.60/965,312.40 = 394,658.40/x
  3. Step 3: Cross multiply
    643,797.60x = 965,312.40 × 394,658.40
  4. Step 4: Simplify right side
    643,797.60x = 380,968,647,284.16
  5. Step 5: Solve for x
    x = 380,968,647,284.16/643,797.60
  6. Step 6: Final answer
    x = 591,752.20

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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.