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Finding the Fourth Proportional to 357,470.68, 493,477.68 and 206,538.52

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Solution

The fourth proportional to 357,470.68, 493,477.68 and 206,538.52 is: 285,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,470.68 : 493,477.68 = 206,538.52 : x
  2. Step 2: Convert to fraction form
    357,470.68/493,477.68 = 206,538.52/x
  3. Step 3: Cross multiply
    357,470.68x = 493,477.68 × 206,538.52
  4. Step 4: Simplify right side
    357,470.68x = 101,922,149,680.23
  5. Step 5: Solve for x
    x = 101,922,149,680.23/357,470.68
  6. Step 6: Final answer
    x = 285,120.31

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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.