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Finding the Fourth Proportional to 344,206.94, 475,002.14 and 191,241.81

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Solution

The fourth proportional to 344,206.94, 475,002.14 and 191,241.81 is: 263,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,206.94 : 475,002.14 = 191,241.81 : x
  2. Step 2: Convert to fraction form
    344,206.94/475,002.14 = 191,241.81/x
  3. Step 3: Cross multiply
    344,206.94x = 475,002.14 × 191,241.81
  4. Step 4: Simplify right side
    344,206.94x = 90,840,268,051.26
  5. Step 5: Solve for x
    x = 90,840,268,051.26/344,206.94
  6. Step 6: Final answer
    x = 263,911.79

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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.