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Finding the Fourth Proportional to 362,153.68, 499,762.74 and 201,004

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Solution

The fourth proportional to 362,153.68, 499,762.74 and 201,004 is: 277,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,153.68 : 499,762.74 = 201,004 : x
  2. Step 2: Convert to fraction form
    362,153.68/499,762.74 = 201,004/x
  3. Step 3: Cross multiply
    362,153.68x = 499,762.74 × 201,004
  4. Step 4: Simplify right side
    362,153.68x = 100,454,309,790.96
  5. Step 5: Solve for x
    x = 100,454,309,790.96/362,153.68
  6. Step 6: Final answer
    x = 277,380.34

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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.