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Finding the Fourth Proportional to 647,977.20, 971,965.80 and 448,522.80

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Solution

The fourth proportional to 647,977.20, 971,965.80 and 448,522.80 is: 672,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,977.20 : 971,965.80 = 448,522.80 : x
  2. Step 2: Convert to fraction form
    647,977.20/971,965.80 = 448,522.80/x
  3. Step 3: Cross multiply
    647,977.20x = 971,965.80 × 448,522.80
  4. Step 4: Simplify right side
    647,977.20x = 435,948,822,120.24
  5. Step 5: Solve for x
    x = 435,948,822,120.24/647,977.20
  6. Step 6: Final answer
    x = 672,784.20

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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.