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Finding the Fourth Proportional to 382,452.10, 573,678.15 and 380,119.30

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Solution

The fourth proportional to 382,452.10, 573,678.15 and 380,119.30 is: 570,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,452.10 : 573,678.15 = 380,119.30 : x
  2. Step 2: Convert to fraction form
    382,452.10/573,678.15 = 380,119.30/x
  3. Step 3: Cross multiply
    382,452.10x = 573,678.15 × 380,119.30
  4. Step 4: Simplify right side
    382,452.10x = 218,066,136,803.30
  5. Step 5: Solve for x
    x = 218,066,136,803.30/382,452.10
  6. Step 6: Final answer
    x = 570,178.95

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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.