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Finding the Fourth Proportional to 222,714.20, 334,071.30 and 209,592.20

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Solution

The fourth proportional to 222,714.20, 334,071.30 and 209,592.20 is: 314,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,714.20 : 334,071.30 = 209,592.20 : x
  2. Step 2: Convert to fraction form
    222,714.20/334,071.30 = 209,592.20/x
  3. Step 3: Cross multiply
    222,714.20x = 334,071.30 × 209,592.20
  4. Step 4: Simplify right side
    222,714.20x = 70,018,738,723.86
  5. Step 5: Solve for x
    x = 70,018,738,723.86/222,714.20
  6. Step 6: Final answer
    x = 314,388.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.