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Finding the Fourth Proportional to 347,261.70, 520,073.35 and 214,551.30

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Solution

The fourth proportional to 347,261.70, 520,073.35 and 214,551.30 is: 321,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,261.70 : 520,073.35 = 214,551.30 : x
  2. Step 2: Convert to fraction form
    347,261.70/520,073.35 = 214,551.30/x
  3. Step 3: Cross multiply
    347,261.70x = 520,073.35 × 214,551.30
  4. Step 4: Simplify right side
    347,261.70x = 111,582,413,337.86
  5. Step 5: Solve for x
    x = 111,582,413,337.86/347,261.70
  6. Step 6: Final answer
    x = 321,320.82

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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.