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Finding the Fourth Proportional to 297,183, 410,119.76 and 163,047

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Solution

The fourth proportional to 297,183, 410,119.76 and 163,047 is: 225,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,183 : 410,119.76 = 163,047 : x
  2. Step 2: Convert to fraction form
    297,183/410,119.76 = 163,047/x
  3. Step 3: Cross multiply
    297,183x = 410,119.76 × 163,047
  4. Step 4: Simplify right side
    297,183x = 66,868,796,508.72
  5. Step 5: Solve for x
    x = 66,868,796,508.72/297,183
  6. Step 6: Final answer
    x = 225,008.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.