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Finding the Fourth Proportional to 377,906.75, 521,511.32 and 208,140.88

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Solution

The fourth proportional to 377,906.75, 521,511.32 and 208,140.88 is: 287,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,906.75 : 521,511.32 = 208,140.88 : x
  2. Step 2: Convert to fraction form
    377,906.75/521,511.32 = 208,140.88/x
  3. Step 3: Cross multiply
    377,906.75x = 521,511.32 × 208,140.88
  4. Step 4: Simplify right side
    377,906.75x = 108,547,821,426.50
  5. Step 5: Solve for x
    x = 108,547,821,426.50/377,906.75
  6. Step 6: Final answer
    x = 287,234.41

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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.