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Finding the Fourth Proportional to 357,339.50, 492,987.86 and 204,295.46

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Solution

The fourth proportional to 357,339.50, 492,987.86 and 204,295.46 is: 281,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,339.50 : 492,987.86 = 204,295.46 : x
  2. Step 2: Convert to fraction form
    357,339.50/492,987.86 = 204,295.46/x
  3. Step 3: Cross multiply
    357,339.50x = 492,987.86 × 204,295.46
  4. Step 4: Simplify right side
    357,339.50x = 100,715,181,633.12
  5. Step 5: Solve for x
    x = 100,715,181,633.12/357,339.50
  6. Step 6: Final answer
    x = 281,847.32

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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.