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Finding the Fourth Proportional to 378,341.85, 522,115.32 and 208,582.05

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Solution

The fourth proportional to 378,341.85, 522,115.32 and 208,582.05 is: 287,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,341.85 : 522,115.32 = 208,582.05 : x
  2. Step 2: Convert to fraction form
    378,341.85/522,115.32 = 208,582.05/x
  3. Step 3: Cross multiply
    378,341.85x = 522,115.32 × 208,582.05
  4. Step 4: Simplify right side
    378,341.85x = 108,903,882,739.10
  5. Step 5: Solve for x
    x = 108,903,882,739.10/378,341.85
  6. Step 6: Final answer
    x = 287,845.19

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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.