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Finding the Fourth Proportional to 397,187.54, 595,594.12 and 144,289.70

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Solution

The fourth proportional to 397,187.54, 595,594.12 and 144,289.70 is: 216,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,187.54 : 595,594.12 = 144,289.70 : x
  2. Step 2: Convert to fraction form
    397,187.54/595,594.12 = 144,289.70/x
  3. Step 3: Cross multiply
    397,187.54x = 595,594.12 × 144,289.70
  4. Step 4: Simplify right side
    397,187.54x = 85,938,096,896.56
  5. Step 5: Solve for x
    x = 85,938,096,896.56/397,187.54
  6. Step 6: Final answer
    x = 216,366.55

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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.