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Finding the Fourth Proportional to 361,782.24, 499,488.19 and 232,780.69

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Solution

The fourth proportional to 361,782.24, 499,488.19 and 232,780.69 is: 321,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,782.24 : 499,488.19 = 232,780.69 : x
  2. Step 2: Convert to fraction form
    361,782.24/499,488.19 = 232,780.69/x
  3. Step 3: Cross multiply
    361,782.24x = 499,488.19 × 232,780.69
  4. Step 4: Simplify right side
    361,782.24x = 116,271,204,351.15
  5. Step 5: Solve for x
    x = 116,271,204,351.15/361,782.24
  6. Step 6: Final answer
    x = 321,384.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.