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Finding the Fourth Proportional to 348,052.70, 522,079.05 and 214,499.90

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Solution

The fourth proportional to 348,052.70, 522,079.05 and 214,499.90 is: 321,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,052.70 : 522,079.05 = 214,499.90 : x
  2. Step 2: Convert to fraction form
    348,052.70/522,079.05 = 214,499.90/x
  3. Step 3: Cross multiply
    348,052.70x = 522,079.05 × 214,499.90
  4. Step 4: Simplify right side
    348,052.70x = 111,985,904,017.10
  5. Step 5: Solve for x
    x = 111,985,904,017.10/348,052.70
  6. Step 6: Final answer
    x = 321,749.85

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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.