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Finding the Fourth Proportional to 335,194.42, 462,568.31 and 184,291.42

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Solution

The fourth proportional to 335,194.42, 462,568.31 and 184,291.42 is: 254,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,194.42 : 462,568.31 = 184,291.42 : x
  2. Step 2: Convert to fraction form
    335,194.42/462,568.31 = 184,291.42/x
  3. Step 3: Cross multiply
    335,194.42x = 462,568.31 × 184,291.42
  4. Step 4: Simplify right side
    335,194.42x = 85,247,370,696.90
  5. Step 5: Solve for x
    x = 85,247,370,696.90/335,194.42
  6. Step 6: Final answer
    x = 254,322.17

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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.