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Finding the Fourth Proportional to 647,102.20, 970,653.30 and 532,940.80

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Solution

The fourth proportional to 647,102.20, 970,653.30 and 532,940.80 is: 799,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,102.20 : 970,653.30 = 532,940.80 : x
  2. Step 2: Convert to fraction form
    647,102.20/970,653.30 = 532,940.80/x
  3. Step 3: Cross multiply
    647,102.20x = 970,653.30 × 532,940.80
  4. Step 4: Simplify right side
    647,102.20x = 517,300,746,224.64
  5. Step 5: Solve for x
    x = 517,300,746,224.64/647,102.20
  6. Step 6: Final answer
    x = 799,411.20

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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.