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Finding the Fourth Proportional to 382,117.95, 573,231.60 and 115,899.30

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Solution

The fourth proportional to 382,117.95, 573,231.60 and 115,899.30 is: 173,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,117.95 : 573,231.60 = 115,899.30 : x
  2. Step 2: Convert to fraction form
    382,117.95/573,231.60 = 115,899.30/x
  3. Step 3: Cross multiply
    382,117.95x = 573,231.60 × 115,899.30
  4. Step 4: Simplify right side
    382,117.95x = 66,437,141,177.88
  5. Step 5: Solve for x
    x = 66,437,141,177.88/382,117.95
  6. Step 6: Final answer
    x = 173,865.53

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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.