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Finding the Fourth Proportional to 370,788.97, 511,715 and 209,645.59

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Solution

The fourth proportional to 370,788.97, 511,715 and 209,645.59 is: 289,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,788.97 : 511,715 = 209,645.59 : x
  2. Step 2: Convert to fraction form
    370,788.97/511,715 = 209,645.59/x
  3. Step 3: Cross multiply
    370,788.97x = 511,715 × 209,645.59
  4. Step 4: Simplify right side
    370,788.97x = 107,278,793,086.85
  5. Step 5: Solve for x
    x = 107,278,793,086.85/370,788.97
  6. Step 6: Final answer
    x = 289,325.74

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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.