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Finding the Fourth Proportional to 719,493.41, 992,874.87 and 397,196.58

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Solution

The fourth proportional to 719,493.41, 992,874.87 and 397,196.58 is: 548,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,493.41 : 992,874.87 = 397,196.58 : x
  2. Step 2: Convert to fraction form
    719,493.41/992,874.87 = 397,196.58/x
  3. Step 3: Cross multiply
    719,493.41x = 992,874.87 × 397,196.58
  4. Step 4: Simplify right side
    719,493.41x = 394,366,502,731.95
  5. Step 5: Solve for x
    x = 394,366,502,731.95/719,493.41
  6. Step 6: Final answer
    x = 548,116.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.