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Finding the Fourth Proportional to 344,208.96, 474,980.16 and 191,251.80

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Solution

The fourth proportional to 344,208.96, 474,980.16 and 191,251.80 is: 263,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,208.96 : 474,980.16 = 191,251.80 : x
  2. Step 2: Convert to fraction form
    344,208.96/474,980.16 = 191,251.80/x
  3. Step 3: Cross multiply
    344,208.96x = 474,980.16 × 191,251.80
  4. Step 4: Simplify right side
    344,208.96x = 90,840,810,564.29
  5. Step 5: Solve for x
    x = 90,840,810,564.29/344,208.96
  6. Step 6: Final answer
    x = 263,911.81

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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.