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Finding the Fourth Proportional to 399,833.49, 599,453.96 and 242,024.61

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Solution

The fourth proportional to 399,833.49, 599,453.96 and 242,024.61 is: 362,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,833.49 : 599,453.96 = 242,024.61 : x
  2. Step 2: Convert to fraction form
    399,833.49/599,453.96 = 242,024.61/x
  3. Step 3: Cross multiply
    399,833.49x = 599,453.96 × 242,024.61
  4. Step 4: Simplify right side
    399,833.49x = 145,082,609,671.83
  5. Step 5: Solve for x
    x = 145,082,609,671.83/399,833.49
  6. Step 6: Final answer
    x = 362,857.57

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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.