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Finding the Fourth Proportional to 397,830.56, 596,745.84 and 117,325.94

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Solution

The fourth proportional to 397,830.56, 596,745.84 and 117,325.94 is: 175,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,830.56 : 596,745.84 = 117,325.94 : x
  2. Step 2: Convert to fraction form
    397,830.56/596,745.84 = 117,325.94/x
  3. Step 3: Cross multiply
    397,830.56x = 596,745.84 × 117,325.94
  4. Step 4: Simplify right side
    397,830.56x = 70,013,766,619.09
  5. Step 5: Solve for x
    x = 70,013,766,619.09/397,830.56
  6. Step 6: Final answer
    x = 175,988.91

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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.