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Finding the Fourth Proportional to 357,340.21, 493,130.46 and 196,205.71

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Solution

The fourth proportional to 357,340.21, 493,130.46 and 196,205.71 is: 270,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,340.21 : 493,130.46 = 196,205.71 : x
  2. Step 2: Convert to fraction form
    357,340.21/493,130.46 = 196,205.71/x
  3. Step 3: Cross multiply
    357,340.21x = 493,130.46 × 196,205.71
  4. Step 4: Simplify right side
    357,340.21x = 96,755,012,026.93
  5. Step 5: Solve for x
    x = 96,755,012,026.93/357,340.21
  6. Step 6: Final answer
    x = 270,764.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.