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Finding the Fourth Proportional to 297,304.20, 410,271.30 and 161,332.20

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Solution

The fourth proportional to 297,304.20, 410,271.30 and 161,332.20 is: 222,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,304.20 : 410,271.30 = 161,332.20 : x
  2. Step 2: Convert to fraction form
    297,304.20/410,271.30 = 161,332.20/x
  3. Step 3: Cross multiply
    297,304.20x = 410,271.30 × 161,332.20
  4. Step 4: Simplify right side
    297,304.20x = 66,189,971,425.86
  5. Step 5: Solve for x
    x = 66,189,971,425.86/297,304.20
  6. Step 6: Final answer
    x = 222,633.83

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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.