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Finding the Fourth Proportional to 397,772.96, 596,480.88 and 117,191.84

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Solution

The fourth proportional to 397,772.96, 596,480.88 and 117,191.84 is: 175,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,772.96 : 596,480.88 = 117,191.84 : x
  2. Step 2: Convert to fraction form
    397,772.96/596,480.88 = 117,191.84/x
  3. Step 3: Cross multiply
    397,772.96x = 596,480.88 × 117,191.84
  4. Step 4: Simplify right side
    397,772.96x = 69,902,691,852.02
  5. Step 5: Solve for x
    x = 69,902,691,852.02/397,772.96
  6. Step 6: Final answer
    x = 175,735.15

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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.