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Finding the Fourth Proportional to 613,323, 919,984.50 and 170,091

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Solution

The fourth proportional to 613,323, 919,984.50 and 170,091 is: 255,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,323 : 919,984.50 = 170,091 : x
  2. Step 2: Convert to fraction form
    613,323/919,984.50 = 170,091/x
  3. Step 3: Cross multiply
    613,323x = 919,984.50 × 170,091
  4. Step 4: Simplify right side
    613,323x = 156,481,083,589.50
  5. Step 5: Solve for x
    x = 156,481,083,589.50/613,323
  6. Step 6: Final answer
    x = 255,136.50

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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.