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Finding the Fourth Proportional to 349,546.35, 523,114.79 and 214,520.79

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Solution

The fourth proportional to 349,546.35, 523,114.79 and 214,520.79 is: 321,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,546.35 : 523,114.79 = 214,520.79 : x
  2. Step 2: Convert to fraction form
    349,546.35/523,114.79 = 214,520.79/x
  3. Step 3: Cross multiply
    349,546.35x = 523,114.79 × 214,520.79
  4. Step 4: Simplify right side
    349,546.35x = 112,218,996,938.88
  5. Step 5: Solve for x
    x = 112,218,996,938.88/349,546.35
  6. Step 6: Final answer
    x = 321,041.82

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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.