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Finding the Fourth Proportional to 647,621.40, 970,265.70 and 398,011.80

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Solution

The fourth proportional to 647,621.40, 970,265.70 and 398,011.80 is: 596,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,621.40 : 970,265.70 = 398,011.80 : x
  2. Step 2: Convert to fraction form
    647,621.40/970,265.70 = 398,011.80/x
  3. Step 3: Cross multiply
    647,621.40x = 970,265.70 × 398,011.80
  4. Step 4: Simplify right side
    647,621.40x = 386,177,197,735.26
  5. Step 5: Solve for x
    x = 386,177,197,735.26/647,621.40
  6. Step 6: Final answer
    x = 596,300.86

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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.