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Finding the Fourth Proportional to 397,597.35, 596,191.71 and 117,078.15

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Solution

The fourth proportional to 397,597.35, 596,191.71 and 117,078.15 is: 175,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,597.35 : 596,191.71 = 117,078.15 : x
  2. Step 2: Convert to fraction form
    397,597.35/596,191.71 = 117,078.15/x
  3. Step 3: Cross multiply
    397,597.35x = 596,191.71 × 117,078.15
  4. Step 4: Simplify right side
    397,597.35x = 69,801,022,452.14
  5. Step 5: Solve for x
    x = 69,801,022,452.14/397,597.35
  6. Step 6: Final answer
    x = 175,557.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.