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Finding the Fourth Proportional to 377,905, 521,508.90 and 208,139.12

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Solution

The fourth proportional to 377,905, 521,508.90 and 208,139.12 is: 287,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,905 : 521,508.90 = 208,139.12 : x
  2. Step 2: Convert to fraction form
    377,905/521,508.90 = 208,139.12/x
  3. Step 3: Cross multiply
    377,905x = 521,508.90 × 208,139.12
  4. Step 4: Simplify right side
    377,905x = 108,546,403,518.17
  5. Step 5: Solve for x
    x = 108,546,403,518.17/377,905
  6. Step 6: Final answer
    x = 287,231.99

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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.