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Finding the Fourth Proportional to 650,749.44, 975,762 and 201,345.24

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Solution

The fourth proportional to 650,749.44, 975,762 and 201,345.24 is: 301,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,749.44 : 975,762 = 201,345.24 : x
  2. Step 2: Convert to fraction form
    650,749.44/975,762 = 201,345.24/x
  3. Step 3: Cross multiply
    650,749.44x = 975,762 × 201,345.24
  4. Step 4: Simplify right side
    650,749.44x = 196,465,034,072.88
  5. Step 5: Solve for x
    x = 196,465,034,072.88/650,749.44
  6. Step 6: Final answer
    x = 301,905.81

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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.