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Finding the Fourth Proportional to 382,039.20, 573,058.80 and 340,704.90

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Solution

The fourth proportional to 382,039.20, 573,058.80 and 340,704.90 is: 511,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,039.20 : 573,058.80 = 340,704.90 : x
  2. Step 2: Convert to fraction form
    382,039.20/573,058.80 = 340,704.90/x
  3. Step 3: Cross multiply
    382,039.20x = 573,058.80 × 340,704.90
  4. Step 4: Simplify right side
    382,039.20x = 195,243,941,148.12
  5. Step 5: Solve for x
    x = 195,243,941,148.12/382,039.20
  6. Step 6: Final answer
    x = 511,057.35

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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.