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Finding the Fourth Proportional to 382,901.88, 574,392.15 and 146,443.44

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Solution

The fourth proportional to 382,901.88, 574,392.15 and 146,443.44 is: 219,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,901.88 : 574,392.15 = 146,443.44 : x
  2. Step 2: Convert to fraction form
    382,901.88/574,392.15 = 146,443.44/x
  3. Step 3: Cross multiply
    382,901.88x = 574,392.15 × 146,443.44
  4. Step 4: Simplify right side
    382,901.88x = 84,115,962,355.00
  5. Step 5: Solve for x
    x = 84,115,962,355.00/382,901.88
  6. Step 6: Final answer
    x = 219,680.20

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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.