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Finding the Fourth Proportional to 523,455.97, 722,185.27 and 342,273.95

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Solution

The fourth proportional to 523,455.97, 722,185.27 and 342,273.95 is: 472,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,455.97 : 722,185.27 = 342,273.95 : x
  2. Step 2: Convert to fraction form
    523,455.97/722,185.27 = 342,273.95/x
  3. Step 3: Cross multiply
    523,455.97x = 722,185.27 × 342,273.95
  4. Step 4: Simplify right side
    523,455.97x = 247,185,203,283.35
  5. Step 5: Solve for x
    x = 247,185,203,283.35/523,455.97
  6. Step 6: Final answer
    x = 472,217.76

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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.