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Finding the Fourth Proportional to 537,672.14, 741,959.28 and 295,908.50

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Solution

The fourth proportional to 537,672.14, 741,959.28 and 295,908.50 is: 408,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,672.14 : 741,959.28 = 295,908.50 : x
  2. Step 2: Convert to fraction form
    537,672.14/741,959.28 = 295,908.50/x
  3. Step 3: Cross multiply
    537,672.14x = 741,959.28 × 295,908.50
  4. Step 4: Simplify right side
    537,672.14x = 219,552,057,605.88
  5. Step 5: Solve for x
    x = 219,552,057,605.88/537,672.14
  6. Step 6: Final answer
    x = 408,338.17

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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.