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Finding the Fourth Proportional to 357,546.42, 493,412.25 and 196,400.97

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Solution

The fourth proportional to 357,546.42, 493,412.25 and 196,400.97 is: 271,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,546.42 : 493,412.25 = 196,400.97 : x
  2. Step 2: Convert to fraction form
    357,546.42/493,412.25 = 196,400.97/x
  3. Step 3: Cross multiply
    357,546.42x = 493,412.25 × 196,400.97
  4. Step 4: Simplify right side
    357,546.42x = 96,906,644,509.88
  5. Step 5: Solve for x
    x = 96,906,644,509.88/357,546.42
  6. Step 6: Final answer
    x = 271,032.34

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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.