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Finding the Fourth Proportional to 382,113.90, 573,025.05 and 115,785.90

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Solution

The fourth proportional to 382,113.90, 573,025.05 and 115,785.90 is: 173,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,113.90 : 573,025.05 = 115,785.90 : x
  2. Step 2: Convert to fraction form
    382,113.90/573,025.05 = 115,785.90/x
  3. Step 3: Cross multiply
    382,113.90x = 573,025.05 × 115,785.90
  4. Step 4: Simplify right side
    382,113.90x = 66,348,221,136.80
  5. Step 5: Solve for x
    x = 66,348,221,136.80/382,113.90
  6. Step 6: Final answer
    x = 173,634.67

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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.