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Finding the Fourth Proportional to 297,805, 410,970.90 and 163,669

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Solution

The fourth proportional to 297,805, 410,970.90 and 163,669 is: 225,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,805 : 410,970.90 = 163,669 : x
  2. Step 2: Convert to fraction form
    297,805/410,970.90 = 163,669/x
  3. Step 3: Cross multiply
    297,805x = 410,970.90 × 163,669
  4. Step 4: Simplify right side
    297,805x = 67,263,196,232.10
  5. Step 5: Solve for x
    x = 67,263,196,232.10/297,805
  6. Step 6: Final answer
    x = 225,863.22

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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.