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Finding the Fourth Proportional to 264,633.50, 365,217.27 and 145,424.54

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Solution

The fourth proportional to 264,633.50, 365,217.27 and 145,424.54 is: 200,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,633.50 : 365,217.27 = 145,424.54 : x
  2. Step 2: Convert to fraction form
    264,633.50/365,217.27 = 145,424.54/x
  3. Step 3: Cross multiply
    264,633.50x = 365,217.27 × 145,424.54
  4. Step 4: Simplify right side
    264,633.50x = 53,111,553,489.81
  5. Step 5: Solve for x
    x = 53,111,553,489.81/264,633.50
  6. Step 6: Final answer
    x = 200,698.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.