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Finding the Fourth Proportional to 397,171.74, 595,570.40 and 144,273.96

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Solution

The fourth proportional to 397,171.74, 595,570.40 and 144,273.96 is: 216,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,171.74 : 595,570.40 = 144,273.96 : x
  2. Step 2: Convert to fraction form
    397,171.74/595,570.40 = 144,273.96/x
  3. Step 3: Cross multiply
    397,171.74x = 595,570.40 × 144,273.96
  4. Step 4: Simplify right side
    397,171.74x = 85,925,300,066.78
  5. Step 5: Solve for x
    x = 85,925,300,066.78/397,171.74
  6. Step 6: Final answer
    x = 216,342.94

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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.