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Finding the Fourth Proportional to 264,448.20, 396,842.40 and 146,204.40

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Solution

The fourth proportional to 264,448.20, 396,842.40 and 146,204.40 is: 219,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,448.20 : 396,842.40 = 146,204.40 : x
  2. Step 2: Convert to fraction form
    264,448.20/396,842.40 = 146,204.40/x
  3. Step 3: Cross multiply
    264,448.20x = 396,842.40 × 146,204.40
  4. Step 4: Simplify right side
    264,448.20x = 58,020,104,986.56
  5. Step 5: Solve for x
    x = 58,020,104,986.56/264,448.20
  6. Step 6: Final answer
    x = 219,400.64

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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.