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Finding the Fourth Proportional to 297,292.42, 410,262.30 and 161,325.40

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Solution

The fourth proportional to 297,292.42, 410,262.30 and 161,325.40 is: 222,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,292.42 : 410,262.30 = 161,325.40 : x
  2. Step 2: Convert to fraction form
    297,292.42/410,262.30 = 161,325.40/x
  3. Step 3: Cross multiply
    297,292.42x = 410,262.30 × 161,325.40
  4. Step 4: Simplify right side
    297,292.42x = 66,185,729,652.42
  5. Step 5: Solve for x
    x = 66,185,729,652.42/297,292.42
  6. Step 6: Final answer
    x = 222,628.38

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1.5x scale

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.