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Finding the Fourth Proportional to 417,438.28, 625,865.58 and 133,033.48

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Solution

The fourth proportional to 417,438.28, 625,865.58 and 133,033.48 is: 199,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,438.28 : 625,865.58 = 133,033.48 : x
  2. Step 2: Convert to fraction form
    417,438.28/625,865.58 = 133,033.48/x
  3. Step 3: Cross multiply
    417,438.28x = 625,865.58 × 133,033.48
  4. Step 4: Simplify right side
    417,438.28x = 83,261,076,119.62
  5. Step 5: Solve for x
    x = 83,261,076,119.62/417,438.28
  6. Step 6: Final answer
    x = 199,457.21

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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.