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Finding the Fourth Proportional to 362,453, 500,185.14 and 203,477

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Solution

The fourth proportional to 362,453, 500,185.14 and 203,477 is: 280,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,453 : 500,185.14 = 203,477 : x
  2. Step 2: Convert to fraction form
    362,453/500,185.14 = 203,477/x
  3. Step 3: Cross multiply
    362,453x = 500,185.14 × 203,477
  4. Step 4: Simplify right side
    362,453x = 101,776,171,731.78
  5. Step 5: Solve for x
    x = 101,776,171,731.78/362,453
  6. Step 6: Final answer
    x = 280,798.26

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Why These Related Problems?

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