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Finding the Fourth Proportional to 369,058.38, 509,338.17 and 225,913.02

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Solution

The fourth proportional to 369,058.38, 509,338.17 and 225,913.02 is: 311,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,058.38 : 509,338.17 = 225,913.02 : x
  2. Step 2: Convert to fraction form
    369,058.38/509,338.17 = 225,913.02/x
  3. Step 3: Cross multiply
    369,058.38x = 509,338.17 × 225,913.02
  4. Step 4: Simplify right side
    369,058.38x = 115,066,124,185.97
  5. Step 5: Solve for x
    x = 115,066,124,185.97/369,058.38
  6. Step 6: Final answer
    x = 311,782.99

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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.