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Finding the Fourth Proportional to 357,327.97, 493,090.50 and 196,182.11

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Solution

The fourth proportional to 357,327.97, 493,090.50 and 196,182.11 is: 270,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,327.97 : 493,090.50 = 196,182.11 : x
  2. Step 2: Convert to fraction form
    357,327.97/493,090.50 = 196,182.11/x
  3. Step 3: Cross multiply
    357,327.97x = 493,090.50 × 196,182.11
  4. Step 4: Simplify right side
    357,327.97x = 96,735,536,679.36
  5. Step 5: Solve for x
    x = 96,735,536,679.36/357,327.97
  6. Step 6: Final answer
    x = 270,719.19

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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.