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Finding the Fourth Proportional to 227,809.40, 341,714.10 and 214,687.40

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Solution

The fourth proportional to 227,809.40, 341,714.10 and 214,687.40 is: 322,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,809.40 : 341,714.10 = 214,687.40 : x
  2. Step 2: Convert to fraction form
    227,809.40/341,714.10 = 214,687.40/x
  3. Step 3: Cross multiply
    227,809.40x = 341,714.10 × 214,687.40
  4. Step 4: Simplify right side
    227,809.40x = 73,361,711,672.34
  5. Step 5: Solve for x
    x = 73,361,711,672.34/227,809.40
  6. Step 6: Final answer
    x = 322,031.10

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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.