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Finding the Fourth Proportional to 541,223.57, 746,881.16 and 299,491.43

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Solution

The fourth proportional to 541,223.57, 746,881.16 and 299,491.43 is: 413,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,223.57 : 746,881.16 = 299,491.43 : x
  2. Step 2: Convert to fraction form
    541,223.57/746,881.16 = 299,491.43/x
  3. Step 3: Cross multiply
    541,223.57x = 746,881.16 × 299,491.43
  4. Step 4: Simplify right side
    541,223.57x = 223,684,501,416.60
  5. Step 5: Solve for x
    x = 223,684,501,416.60/541,223.57
  6. Step 6: Final answer
    x = 413,294.09

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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.