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Finding the Fourth Proportional to 357,776.14, 493,742.92 and 196,636.90

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Solution

The fourth proportional to 357,776.14, 493,742.92 and 196,636.90 is: 271,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,776.14 : 493,742.92 = 196,636.90 : x
  2. Step 2: Convert to fraction form
    357,776.14/493,742.92 = 196,636.90/x
  3. Step 3: Cross multiply
    357,776.14x = 493,742.92 × 196,636.90
  4. Step 4: Simplify right side
    357,776.14x = 97,088,077,185.75
  5. Step 5: Solve for x
    x = 97,088,077,185.75/357,776.14
  6. Step 6: Final answer
    x = 271,365.43

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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.