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Finding the Fourth Proportional to 295,806.40, 444,001.20 and 146,215.60

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Solution

The fourth proportional to 295,806.40, 444,001.20 and 146,215.60 is: 219,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,806.40 : 444,001.20 = 146,215.60 : x
  2. Step 2: Convert to fraction form
    295,806.40/444,001.20 = 146,215.60/x
  3. Step 3: Cross multiply
    295,806.40x = 444,001.20 × 146,215.60
  4. Step 4: Simplify right side
    295,806.40x = 64,919,901,858.72
  5. Step 5: Solve for x
    x = 64,919,901,858.72/295,806.40
  6. Step 6: Final answer
    x = 219,467.54

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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.