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Finding the Fourth Proportional to 384,125.31, 575,902.62 and 184,255.38

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Solution

The fourth proportional to 384,125.31, 575,902.62 and 184,255.38 is: 276,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,125.31 : 575,902.62 = 184,255.38 : x
  2. Step 2: Convert to fraction form
    384,125.31/575,902.62 = 184,255.38/x
  3. Step 3: Cross multiply
    384,125.31x = 575,902.62 × 184,255.38
  4. Step 4: Simplify right side
    384,125.31x = 106,113,156,091.10
  5. Step 5: Solve for x
    x = 106,113,156,091.10/384,125.31
  6. Step 6: Final answer
    x = 276,246.20

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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.