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Finding the Fourth Proportional to 357,758.10, 493,682.27 and 196,609.68

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Solution

The fourth proportional to 357,758.10, 493,682.27 and 196,609.68 is: 271,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,758.10 : 493,682.27 = 196,609.68 : x
  2. Step 2: Convert to fraction form
    357,758.10/493,682.27 = 196,609.68/x
  3. Step 3: Cross multiply
    357,758.10x = 493,682.27 × 196,609.68
  4. Step 4: Simplify right side
    357,758.10x = 97,062,712,143.33
  5. Step 5: Solve for x
    x = 97,062,712,143.33/357,758.10
  6. Step 6: Final answer
    x = 271,308.22

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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.