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Finding the Fourth Proportional to 647,772.98, 971,426.16 and 273,825.14

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Solution

The fourth proportional to 647,772.98, 971,426.16 and 273,825.14 is: 410,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,772.98 : 971,426.16 = 273,825.14 : x
  2. Step 2: Convert to fraction form
    647,772.98/971,426.16 = 273,825.14/x
  3. Step 3: Cross multiply
    647,772.98x = 971,426.16 × 273,825.14
  4. Step 4: Simplify right side
    647,772.98x = 266,000,904,261.66
  5. Step 5: Solve for x
    x = 266,000,904,261.66/647,772.98
  6. Step 6: Final answer
    x = 410,639.09

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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.