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Finding the Fourth Proportional to 466,734.82, 644,107.08 and 285,443.50

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Solution

The fourth proportional to 466,734.82, 644,107.08 and 285,443.50 is: 393,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,734.82 : 644,107.08 = 285,443.50 : x
  2. Step 2: Convert to fraction form
    466,734.82/644,107.08 = 285,443.50/x
  3. Step 3: Cross multiply
    466,734.82x = 644,107.08 × 285,443.50
  4. Step 4: Simplify right side
    466,734.82x = 183,856,179,289.98
  5. Step 5: Solve for x
    x = 183,856,179,289.98/466,734.82
  6. Step 6: Final answer
    x = 393,920.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.