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Finding the Fourth Proportional to 537,670.98, 741,959.10 and 295,947.54

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Solution

The fourth proportional to 537,670.98, 741,959.10 and 295,947.54 is: 408,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,670.98 : 741,959.10 = 295,947.54 : x
  2. Step 2: Convert to fraction form
    537,670.98/741,959.10 = 295,947.54/x
  3. Step 3: Cross multiply
    537,670.98x = 741,959.10 × 295,947.54
  4. Step 4: Simplify right side
    537,670.98x = 219,580,970,425.61
  5. Step 5: Solve for x
    x = 219,580,970,425.61/537,670.98
  6. Step 6: Final answer
    x = 408,392.82

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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.