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Finding the Fourth Proportional to 384,073.20, 575,824.38 and 184,203.24

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Solution

The fourth proportional to 384,073.20, 575,824.38 and 184,203.24 is: 276,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,073.20 : 575,824.38 = 184,203.24 : x
  2. Step 2: Convert to fraction form
    384,073.20/575,824.38 = 184,203.24/x
  3. Step 3: Cross multiply
    384,073.20x = 575,824.38 × 184,203.24
  4. Step 4: Simplify right side
    384,073.20x = 106,068,716,466.99
  5. Step 5: Solve for x
    x = 106,068,716,466.99/384,073.20
  6. Step 6: Final answer
    x = 276,167.97

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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.