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Finding the Fourth Proportional to 601,512, 902,268 and 180,788.28

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Solution

The fourth proportional to 601,512, 902,268 and 180,788.28 is: 271,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,512 : 902,268 = 180,788.28 : x
  2. Step 2: Convert to fraction form
    601,512/902,268 = 180,788.28/x
  3. Step 3: Cross multiply
    601,512x = 902,268 × 180,788.28
  4. Step 4: Simplify right side
    601,512x = 163,119,479,819.04
  5. Step 5: Solve for x
    x = 163,119,479,819.04/601,512
  6. Step 6: Final answer
    x = 271,182.42

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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.