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Finding the Fourth Proportional to 397,023.44, 595,386.11 and 144,241.47

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Solution

The fourth proportional to 397,023.44, 595,386.11 and 144,241.47 is: 216,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,023.44 : 595,386.11 = 144,241.47 : x
  2. Step 2: Convert to fraction form
    397,023.44/595,386.11 = 144,241.47/x
  3. Step 3: Cross multiply
    397,023.44x = 595,386.11 × 144,241.47
  4. Step 4: Simplify right side
    397,023.44x = 85,879,368,084.59
  5. Step 5: Solve for x
    x = 85,879,368,084.59/397,023.44
  6. Step 6: Final answer
    x = 216,308.06

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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.