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Finding the Fourth Proportional to 300,442.96, 450,749.22 and 150,502.24

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Solution

The fourth proportional to 300,442.96, 450,749.22 and 150,502.24 is: 225,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,442.96 : 450,749.22 = 150,502.24 : x
  2. Step 2: Convert to fraction form
    300,442.96/450,749.22 = 150,502.24/x
  3. Step 3: Cross multiply
    300,442.96x = 450,749.22 × 150,502.24
  4. Step 4: Simplify right side
    300,442.96x = 67,838,767,288.25
  5. Step 5: Solve for x
    x = 67,838,767,288.25/300,442.96
  6. Step 6: Final answer
    x = 225,795.83

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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.