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Finding the Fourth Proportional to 300,214.05, 450,352.50 and 97,825.86

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Solution

The fourth proportional to 300,214.05, 450,352.50 and 97,825.86 is: 146,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,214.05 : 450,352.50 = 97,825.86 : x
  2. Step 2: Convert to fraction form
    300,214.05/450,352.50 = 97,825.86/x
  3. Step 3: Cross multiply
    300,214.05x = 450,352.50 × 97,825.86
  4. Step 4: Simplify right side
    300,214.05x = 44,056,120,615.65
  5. Step 5: Solve for x
    x = 44,056,120,615.65/300,214.05
  6. Step 6: Final answer
    x = 146,749.03

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1.5x scale

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.