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Finding the Fourth Proportional to 382,297.04, 573,224.16 and 129,492.80

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Solution

The fourth proportional to 382,297.04, 573,224.16 and 129,492.80 is: 194,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,297.04 : 573,224.16 = 129,492.80 : x
  2. Step 2: Convert to fraction form
    382,297.04/573,224.16 = 129,492.80/x
  3. Step 3: Cross multiply
    382,297.04x = 573,224.16 × 129,492.80
  4. Step 4: Simplify right side
    382,297.04x = 74,228,401,506.05
  5. Step 5: Solve for x
    x = 74,228,401,506.05/382,297.04
  6. Step 6: Final answer
    x = 194,164.21

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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.