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Finding the Fourth Proportional to 377,907, 521,511.66 and 208,141.13

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Solution

The fourth proportional to 377,907, 521,511.66 and 208,141.13 is: 287,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,907 : 521,511.66 = 208,141.13 : x
  2. Step 2: Convert to fraction form
    377,907/521,511.66 = 208,141.13/x
  3. Step 3: Cross multiply
    377,907x = 521,511.66 × 208,141.13
  4. Step 4: Simplify right side
    377,907x = 108,548,023,613.02
  5. Step 5: Solve for x
    x = 108,548,023,613.02/377,907
  6. Step 6: Final answer
    x = 287,234.75

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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.