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Finding the Fourth Proportional to 524,204.82, 786,177.23 and 224,651.43

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Solution

The fourth proportional to 524,204.82, 786,177.23 and 224,651.43 is: 336,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,204.82 : 786,177.23 = 224,651.43 : x
  2. Step 2: Convert to fraction form
    524,204.82/786,177.23 = 224,651.43/x
  3. Step 3: Cross multiply
    524,204.82x = 786,177.23 × 224,651.43
  4. Step 4: Simplify right side
    524,204.82x = 176,615,837,829.68
  5. Step 5: Solve for x
    x = 176,615,837,829.68/524,204.82
  6. Step 6: Final answer
    x = 336,921.43

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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.