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Finding the Fourth Proportional to 364,786.49, 547,263.98 and 115,468.49

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Solution

The fourth proportional to 364,786.49, 547,263.98 and 115,468.49 is: 173,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,786.49 : 547,263.98 = 115,468.49 : x
  2. Step 2: Convert to fraction form
    364,786.49/547,263.98 = 115,468.49/x
  3. Step 3: Cross multiply
    364,786.49x = 547,263.98 × 115,468.49
  4. Step 4: Simplify right side
    364,786.49x = 63,191,745,401.99
  5. Step 5: Solve for x
    x = 63,191,745,401.99/364,786.49
  6. Step 6: Final answer
    x = 173,229.40

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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.