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Finding the Fourth Proportional to 397,238.59, 595,670.59 and 144,340.75

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Solution

The fourth proportional to 397,238.59, 595,670.59 and 144,340.75 is: 216,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,238.59 : 595,670.59 = 144,340.75 : x
  2. Step 2: Convert to fraction form
    397,238.59/595,670.59 = 144,340.75/x
  3. Step 3: Cross multiply
    397,238.59x = 595,670.59 × 144,340.75
  4. Step 4: Simplify right side
    397,238.59x = 85,979,539,713.54
  5. Step 5: Solve for x
    x = 85,979,539,713.54/397,238.59
  6. Step 6: Final answer
    x = 216,443.07

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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.