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Finding the Fourth Proportional to 540,963.72, 746,523.54 and 299,227.32

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Solution

The fourth proportional to 540,963.72, 746,523.54 and 299,227.32 is: 412,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,963.72 : 746,523.54 = 299,227.32 : x
  2. Step 2: Convert to fraction form
    540,963.72/746,523.54 = 299,227.32/x
  3. Step 3: Cross multiply
    540,963.72x = 746,523.54 × 299,227.32
  4. Step 4: Simplify right side
    540,963.72x = 223,380,238,191.11
  5. Step 5: Solve for x
    x = 223,380,238,191.11/540,963.72
  6. Step 6: Final answer
    x = 412,930.17

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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.