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Finding the Fourth Proportional to 384,071.67, 575,822.10 and 184,201.74

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Solution

The fourth proportional to 384,071.67, 575,822.10 and 184,201.74 is: 276,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,071.67 : 575,822.10 = 184,201.74 : x
  2. Step 2: Convert to fraction form
    384,071.67/575,822.10 = 184,201.74/x
  3. Step 3: Cross multiply
    384,071.67x = 575,822.10 × 184,201.74
  4. Step 4: Simplify right side
    384,071.67x = 106,067,432,750.45
  5. Step 5: Solve for x
    x = 106,067,432,750.45/384,071.67
  6. Step 6: Final answer
    x = 276,165.73

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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.