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Finding the Fourth Proportional to 295,051.20, 442,576.80 and 201,739.20

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Solution

The fourth proportional to 295,051.20, 442,576.80 and 201,739.20 is: 302,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,051.20 : 442,576.80 = 201,739.20 : x
  2. Step 2: Convert to fraction form
    295,051.20/442,576.80 = 201,739.20/x
  3. Step 3: Cross multiply
    295,051.20x = 442,576.80 × 201,739.20
  4. Step 4: Simplify right side
    295,051.20x = 89,285,089,570.56
  5. Step 5: Solve for x
    x = 89,285,089,570.56/295,051.20
  6. Step 6: Final answer
    x = 302,608.80

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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.