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Finding the Fourth Proportional to 335,294.86, 462,697.68 and 184,391.86

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Solution

The fourth proportional to 335,294.86, 462,697.68 and 184,391.86 is: 254,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,294.86 : 462,697.68 = 184,391.86 : x
  2. Step 2: Convert to fraction form
    335,294.86/462,697.68 = 184,391.86/x
  3. Step 3: Cross multiply
    335,294.86x = 462,697.68 × 184,391.86
  4. Step 4: Simplify right side
    335,294.86x = 85,317,685,832.88
  5. Step 5: Solve for x
    x = 85,317,685,832.88/335,294.86
  6. Step 6: Final answer
    x = 254,455.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.