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Finding the Fourth Proportional to 255,329.42, 352,025.24 and 209,217.59

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Solution

The fourth proportional to 255,329.42, 352,025.24 and 209,217.59 is: 288,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,329.42 : 352,025.24 = 209,217.59 : x
  2. Step 2: Convert to fraction form
    255,329.42/352,025.24 = 209,217.59/x
  3. Step 3: Cross multiply
    255,329.42x = 352,025.24 × 209,217.59
  4. Step 4: Simplify right side
    255,329.42x = 73,649,869,525.76
  5. Step 5: Solve for x
    x = 73,649,869,525.76/255,329.42
  6. Step 6: Final answer
    x = 288,450.39

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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.