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Finding the Fourth Proportional to 287,229.84, 396,424.50 and 219,118.20

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Solution

The fourth proportional to 287,229.84, 396,424.50 and 219,118.20 is: 302,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,229.84 : 396,424.50 = 219,118.20 : x
  2. Step 2: Convert to fraction form
    287,229.84/396,424.50 = 219,118.20/x
  3. Step 3: Cross multiply
    287,229.84x = 396,424.50 × 219,118.20
  4. Step 4: Simplify right side
    287,229.84x = 86,863,822,875.90
  5. Step 5: Solve for x
    x = 86,863,822,875.90/287,229.84
  6. Step 6: Final answer
    x = 302,419.22

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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.