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Finding the Fourth Proportional to 445,840.60, 668,841.90 and 146,237.80

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Solution

The fourth proportional to 445,840.60, 668,841.90 and 146,237.80 is: 219,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,840.60 : 668,841.90 = 146,237.80 : x
  2. Step 2: Convert to fraction form
    445,840.60/668,841.90 = 146,237.80/x
  3. Step 3: Cross multiply
    445,840.60x = 668,841.90 × 146,237.80
  4. Step 4: Simplify right side
    445,840.60x = 97,809,968,003.82
  5. Step 5: Solve for x
    x = 97,809,968,003.82/445,840.60
  6. Step 6: Final answer
    x = 219,383.27

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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.