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Finding the Fourth Proportional to 326,415, 450,497.46 and 183,183.48

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Solution

The fourth proportional to 326,415, 450,497.46 and 183,183.48 is: 252,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,415 : 450,497.46 = 183,183.48 : x
  2. Step 2: Convert to fraction form
    326,415/450,497.46 = 183,183.48/x
  3. Step 3: Cross multiply
    326,415x = 450,497.46 × 183,183.48
  4. Step 4: Simplify right side
    326,415x = 82,523,692,453.96
  5. Step 5: Solve for x
    x = 82,523,692,453.96/326,415
  6. Step 6: Final answer
    x = 252,818.32

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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.