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Finding the Fourth Proportional to 647,204.28, 970,043.94 and 291,802.20

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Solution

The fourth proportional to 647,204.28, 970,043.94 and 291,802.20 is: 437,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,204.28 : 970,043.94 = 291,802.20 : x
  2. Step 2: Convert to fraction form
    647,204.28/970,043.94 = 291,802.20/x
  3. Step 3: Cross multiply
    647,204.28x = 970,043.94 × 291,802.20
  4. Step 4: Simplify right side
    647,204.28x = 283,060,955,788.67
  5. Step 5: Solve for x
    x = 283,060,955,788.67/647,204.28
  6. Step 6: Final answer
    x = 437,359.52

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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.