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Finding the Fourth Proportional to 397,068.37, 595,538.56 and 144,338.65

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Solution

The fourth proportional to 397,068.37, 595,538.56 and 144,338.65 is: 216,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,068.37 : 595,538.56 = 144,338.65 : x
  2. Step 2: Convert to fraction form
    397,068.37/595,538.56 = 144,338.65/x
  3. Step 3: Cross multiply
    397,068.37x = 595,538.56 × 144,338.65
  4. Step 4: Simplify right side
    397,068.37x = 85,959,231,773.34
  5. Step 5: Solve for x
    x = 85,959,231,773.34/397,068.37
  6. Step 6: Final answer
    x = 216,484.71

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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.