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Finding the Fourth Proportional to 347,809.80, 521,714.70 and 343,144.20

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Solution

The fourth proportional to 347,809.80, 521,714.70 and 343,144.20 is: 514,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,809.80 : 521,714.70 = 343,144.20 : x
  2. Step 2: Convert to fraction form
    347,809.80/521,714.70 = 343,144.20/x
  3. Step 3: Cross multiply
    347,809.80x = 521,714.70 × 343,144.20
  4. Step 4: Simplify right side
    347,809.80x = 179,023,373,359.74
  5. Step 5: Solve for x
    x = 179,023,373,359.74/347,809.80
  6. Step 6: Final answer
    x = 514,716.30

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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.