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Finding the Fourth Proportional to 263,473, 363,592.74 and 144,241

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Solution

The fourth proportional to 263,473, 363,592.74 and 144,241 is: 199,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,473 : 363,592.74 = 144,241 : x
  2. Step 2: Convert to fraction form
    263,473/363,592.74 = 144,241/x
  3. Step 3: Cross multiply
    263,473x = 363,592.74 × 144,241
  4. Step 4: Simplify right side
    263,473x = 52,444,980,410.34
  5. Step 5: Solve for x
    x = 52,444,980,410.34/263,473
  6. Step 6: Final answer
    x = 199,052.58

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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.