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Finding the Fourth Proportional to 407,905.27, 562,728.16 and 271,806.44

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Solution

The fourth proportional to 407,905.27, 562,728.16 and 271,806.44 is: 374,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,905.27 : 562,728.16 = 271,806.44 : x
  2. Step 2: Convert to fraction form
    407,905.27/562,728.16 = 271,806.44/x
  3. Step 3: Cross multiply
    407,905.27x = 562,728.16 × 271,806.44
  4. Step 4: Simplify right side
    407,905.27x = 152,953,135,383.47
  5. Step 5: Solve for x
    x = 152,953,135,383.47/407,905.27
  6. Step 6: Final answer
    x = 374,972.20

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1.5x scale

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.