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Finding the Fourth Proportional to 902,268, 1,353,402 and 271,182.42

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Solution

The fourth proportional to 902,268, 1,353,402 and 271,182.42 is: 406,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,268 : 1,353,402 = 271,182.42 : x
  2. Step 2: Convert to fraction form
    902,268/1,353,402 = 271,182.42/x
  3. Step 3: Cross multiply
    902,268x = 1,353,402 × 271,182.42
  4. Step 4: Simplify right side
    902,268x = 367,018,829,592.84
  5. Step 5: Solve for x
    x = 367,018,829,592.84/902,268
  6. Step 6: Final answer
    x = 406,773.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.