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Finding the Fourth Proportional to 384,118.30, 575,892.12 and 184,248.37

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Solution

The fourth proportional to 384,118.30, 575,892.12 and 184,248.37 is: 276,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,118.30 : 575,892.12 = 184,248.37 : x
  2. Step 2: Convert to fraction form
    384,118.30/575,892.12 = 184,248.37/x
  3. Step 3: Cross multiply
    384,118.30x = 575,892.12 × 184,248.37
  4. Step 4: Simplify right side
    384,118.30x = 106,107,181,526.38
  5. Step 5: Solve for x
    x = 106,107,181,526.38/384,118.30
  6. Step 6: Final answer
    x = 276,235.69

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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.