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Finding the Fourth Proportional to 466,772.50, 644,107.75 and 262,758.21

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Solution

The fourth proportional to 466,772.50, 644,107.75 and 262,758.21 is: 362,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,772.50 : 644,107.75 = 262,758.21 : x
  2. Step 2: Convert to fraction form
    466,772.50/644,107.75 = 262,758.21/x
  3. Step 3: Cross multiply
    466,772.50x = 644,107.75 × 262,758.21
  4. Step 4: Simplify right side
    466,772.50x = 169,244,599,437.13
  5. Step 5: Solve for x
    x = 169,244,599,437.13/466,772.50
  6. Step 6: Final answer
    x = 362,584.77

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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.