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Finding the Fourth Proportional to 399,858.24, 599,491.04 and 242,049.36

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Solution

The fourth proportional to 399,858.24, 599,491.04 and 242,049.36 is: 362,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,858.24 : 599,491.04 = 242,049.36 : x
  2. Step 2: Convert to fraction form
    399,858.24/599,491.04 = 242,049.36/x
  3. Step 3: Cross multiply
    399,858.24x = 599,491.04 × 242,049.36
  4. Step 4: Simplify right side
    399,858.24x = 145,106,422,557.73
  5. Step 5: Solve for x
    x = 145,106,422,557.73/399,858.24
  6. Step 6: Final answer
    x = 362,894.67

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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.