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Finding the Fourth Proportional to 541,898.92, 812,717.66 and 226,184.68

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Solution

The fourth proportional to 541,898.92, 812,717.66 and 226,184.68 is: 339,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,898.92 : 812,717.66 = 226,184.68 : x
  2. Step 2: Convert to fraction form
    541,898.92/812,717.66 = 226,184.68/x
  3. Step 3: Cross multiply
    541,898.92x = 812,717.66 × 226,184.68
  4. Step 4: Simplify right side
    541,898.92x = 183,824,283,857.45
  5. Step 5: Solve for x
    x = 183,824,283,857.45/541,898.92
  6. Step 6: Final answer
    x = 339,222.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.