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Finding the Fourth Proportional to 233,431, 350,146.50 and 58,327

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Solution

The fourth proportional to 233,431, 350,146.50 and 58,327 is: 87,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,431 : 350,146.50 = 58,327 : x
  2. Step 2: Convert to fraction form
    233,431/350,146.50 = 58,327/x
  3. Step 3: Cross multiply
    233,431x = 350,146.50 × 58,327
  4. Step 4: Simplify right side
    233,431x = 20,422,994,905.50
  5. Step 5: Solve for x
    x = 20,422,994,905.50/233,431
  6. Step 6: Final answer
    x = 87,490.50

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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.