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Finding the Fourth Proportional to 541,696.92, 747,523.02 and 299,989.56

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Solution

The fourth proportional to 541,696.92, 747,523.02 and 299,989.56 is: 413,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,696.92 : 747,523.02 = 299,989.56 : x
  2. Step 2: Convert to fraction form
    541,696.92/747,523.02 = 299,989.56/x
  3. Step 3: Cross multiply
    541,696.92x = 747,523.02 × 299,989.56
  4. Step 4: Simplify right side
    541,696.92x = 224,249,101,859.67
  5. Step 5: Solve for x
    x = 224,249,101,859.67/541,696.92
  6. Step 6: Final answer
    x = 413,975.22

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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.