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Finding the Fourth Proportional to 335,214.59, 462,596.09 and 184,311.59

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Solution

The fourth proportional to 335,214.59, 462,596.09 and 184,311.59 is: 254,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,214.59 : 462,596.09 = 184,311.59 : x
  2. Step 2: Convert to fraction form
    335,214.59/462,596.09 = 184,311.59/x
  3. Step 3: Cross multiply
    335,214.59x = 462,596.09 × 184,311.59
  4. Step 4: Simplify right side
    335,214.59x = 85,261,817,641.14
  5. Step 5: Solve for x
    x = 85,261,817,641.14/335,214.59
  6. Step 6: Final answer
    x = 254,349.96

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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.