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Finding the Fourth Proportional to 445,832.60, 668,829.90 and 146,229.80

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Solution

The fourth proportional to 445,832.60, 668,829.90 and 146,229.80 is: 219,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,832.60 : 668,829.90 = 146,229.80 : x
  2. Step 2: Convert to fraction form
    445,832.60/668,829.90 = 146,229.80/x
  3. Step 3: Cross multiply
    445,832.60x = 668,829.90 × 146,229.80
  4. Step 4: Simplify right side
    445,832.60x = 97,802,862,511.02
  5. Step 5: Solve for x
    x = 97,802,862,511.02/445,832.60
  6. Step 6: Final answer
    x = 219,371.27

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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.