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Finding the Fourth Proportional to 362,433.91, 543,837.42 and 149,359.26

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Solution

The fourth proportional to 362,433.91, 543,837.42 and 149,359.26 is: 224,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,433.91 : 543,837.42 = 149,359.26 : x
  2. Step 2: Convert to fraction form
    362,433.91/543,837.42 = 149,359.26/x
  3. Step 3: Cross multiply
    362,433.91x = 543,837.42 × 149,359.26
  4. Step 4: Simplify right side
    362,433.91x = 81,227,153,864.71
  5. Step 5: Solve for x
    x = 81,227,153,864.71/362,433.91
  6. Step 6: Final answer
    x = 224,115.77

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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.