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Finding the Fourth Proportional to 647,205.78, 970,046.19 and 291,803.70

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Solution

The fourth proportional to 647,205.78, 970,046.19 and 291,803.70 is: 437,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,205.78 : 970,046.19 = 291,803.70 : x
  2. Step 2: Convert to fraction form
    647,205.78/970,046.19 = 291,803.70/x
  3. Step 3: Cross multiply
    647,205.78x = 970,046.19 × 291,803.70
  4. Step 4: Simplify right side
    647,205.78x = 283,063,067,412.90
  5. Step 5: Solve for x
    x = 283,063,067,412.90/647,205.78
  6. Step 6: Final answer
    x = 437,361.77

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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.