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Finding the Fourth Proportional to 382,449.50, 573,680.17 and 98,134.03

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Solution

The fourth proportional to 382,449.50, 573,680.17 and 98,134.03 is: 147,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,449.50 : 573,680.17 = 98,134.03 : x
  2. Step 2: Convert to fraction form
    382,449.50/573,680.17 = 98,134.03/x
  3. Step 3: Cross multiply
    382,449.50x = 573,680.17 × 98,134.03
  4. Step 4: Simplify right side
    382,449.50x = 56,297,547,852.95
  5. Step 5: Solve for x
    x = 56,297,547,852.95/382,449.50
  6. Step 6: Final answer
    x = 147,202.57

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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.