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Finding the Fourth Proportional to 382,095.20, 573,142.80 and 329,607.20

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Solution

The fourth proportional to 382,095.20, 573,142.80 and 329,607.20 is: 494,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,095.20 : 573,142.80 = 329,607.20 : x
  2. Step 2: Convert to fraction form
    382,095.20/573,142.80 = 329,607.20/x
  3. Step 3: Cross multiply
    382,095.20x = 573,142.80 × 329,607.20
  4. Step 4: Simplify right side
    382,095.20x = 188,911,993,508.16
  5. Step 5: Solve for x
    x = 188,911,993,508.16/382,095.20
  6. Step 6: Final answer
    x = 494,410.80

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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.