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Finding the Fourth Proportional to 306,627.82, 460,018.26 and 106,951.08

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Solution

The fourth proportional to 306,627.82, 460,018.26 and 106,951.08 is: 160,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,627.82 : 460,018.26 = 106,951.08 : x
  2. Step 2: Convert to fraction form
    306,627.82/460,018.26 = 106,951.08/x
  3. Step 3: Cross multiply
    306,627.82x = 460,018.26 × 106,951.08
  4. Step 4: Simplify right side
    306,627.82x = 49,199,449,726.72
  5. Step 5: Solve for x
    x = 49,199,449,726.72/306,627.82
  6. Step 6: Final answer
    x = 160,453.31

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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.