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Finding the Fourth Proportional to 306,627.24, 460,016.80 and 146,824.77

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Solution

The fourth proportional to 306,627.24, 460,016.80 and 146,824.77 is: 220,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,627.24 : 460,016.80 = 146,824.77 : x
  2. Step 2: Convert to fraction form
    306,627.24/460,016.80 = 146,824.77/x
  3. Step 3: Cross multiply
    306,627.24x = 460,016.80 × 146,824.77
  4. Step 4: Simplify right side
    306,627.24x = 67,541,860,856.14
  5. Step 5: Solve for x
    x = 67,541,860,856.14/306,627.24
  6. Step 6: Final answer
    x = 220,273.52

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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.