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Finding the Fourth Proportional to 397,712.78, 596,570.38 and 98,193.38

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Solution

The fourth proportional to 397,712.78, 596,570.38 and 98,193.38 is: 147,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,712.78 : 596,570.38 = 98,193.38 : x
  2. Step 2: Convert to fraction form
    397,712.78/596,570.38 = 98,193.38/x
  3. Step 3: Cross multiply
    397,712.78x = 596,570.38 × 98,193.38
  4. Step 4: Simplify right side
    397,712.78x = 58,579,262,020.08
  5. Step 5: Solve for x
    x = 58,579,262,020.08/397,712.78
  6. Step 6: Final answer
    x = 147,290.37

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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.