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Finding the Fourth Proportional to 332,148.40, 498,287.40 and 142,608.40

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Solution

The fourth proportional to 332,148.40, 498,287.40 and 142,608.40 is: 213,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,148.40 : 498,287.40 = 142,608.40 : x
  2. Step 2: Convert to fraction form
    332,148.40/498,287.40 = 142,608.40/x
  3. Step 3: Cross multiply
    332,148.40x = 498,287.40 × 142,608.40
  4. Step 4: Simplify right side
    332,148.40x = 71,059,968,854.16
  5. Step 5: Solve for x
    x = 71,059,968,854.16/332,148.40
  6. Step 6: Final answer
    x = 213,940.42

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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.