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Finding the Fourth Proportional to 230,471, 345,706.52 and 55,367

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Solution

The fourth proportional to 230,471, 345,706.52 and 55,367 is: 83,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,471 : 345,706.52 = 55,367 : x
  2. Step 2: Convert to fraction form
    230,471/345,706.52 = 55,367/x
  3. Step 3: Cross multiply
    230,471x = 345,706.52 × 55,367
  4. Step 4: Simplify right side
    230,471x = 19,140,732,892.84
  5. Step 5: Solve for x
    x = 19,140,732,892.84/230,471
  6. Step 6: Final answer
    x = 83,050.50

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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.