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Finding the Fourth Proportional to 288,264.84, 397,779.30 and 160,917

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Solution

The fourth proportional to 288,264.84, 397,779.30 and 160,917 is: 222,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,264.84 : 397,779.30 = 160,917 : x
  2. Step 2: Convert to fraction form
    288,264.84/397,779.30 = 160,917/x
  3. Step 3: Cross multiply
    288,264.84x = 397,779.30 × 160,917
  4. Step 4: Simplify right side
    288,264.84x = 64,009,451,618.10
  5. Step 5: Solve for x
    x = 64,009,451,618.10/288,264.84
  6. Step 6: Final answer
    x = 222,050.85

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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.