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Finding the Fourth Proportional to 233,138.70, 349,708.05 and 214,476.30

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Solution

The fourth proportional to 233,138.70, 349,708.05 and 214,476.30 is: 321,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,138.70 : 349,708.05 = 214,476.30 : x
  2. Step 2: Convert to fraction form
    233,138.70/349,708.05 = 214,476.30/x
  3. Step 3: Cross multiply
    233,138.70x = 349,708.05 × 214,476.30
  4. Step 4: Simplify right side
    233,138.70x = 75,004,088,644.22
  5. Step 5: Solve for x
    x = 75,004,088,644.22/233,138.70
  6. Step 6: Final answer
    x = 321,714.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.