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Finding the Fourth Proportional to 397,786.36, 596,678.80 and 117,500.44

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Solution

The fourth proportional to 397,786.36, 596,678.80 and 117,500.44 is: 176,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,786.36 : 596,678.80 = 117,500.44 : x
  2. Step 2: Convert to fraction form
    397,786.36/596,678.80 = 117,500.44/x
  3. Step 3: Cross multiply
    397,786.36x = 596,678.80 × 117,500.44
  4. Step 4: Simplify right side
    397,786.36x = 70,110,021,538.67
  5. Step 5: Solve for x
    x = 70,110,021,538.67/397,786.36
  6. Step 6: Final answer
    x = 176,250.44

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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.