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Finding the Fourth Proportional to 647,578.80, 971,368.20 and 564,634.80

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Solution

The fourth proportional to 647,578.80, 971,368.20 and 564,634.80 is: 846,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,578.80 : 971,368.20 = 564,634.80 : x
  2. Step 2: Convert to fraction form
    647,578.80/971,368.20 = 564,634.80/x
  3. Step 3: Cross multiply
    647,578.80x = 971,368.20 × 564,634.80
  4. Step 4: Simplify right side
    647,578.80x = 548,468,289,333.36
  5. Step 5: Solve for x
    x = 548,468,289,333.36/647,578.80
  6. Step 6: Final answer
    x = 846,952.20

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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.