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Finding the Fourth Proportional to 354,041.64, 488,583.03 and 192,896.63

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Solution

The fourth proportional to 354,041.64, 488,583.03 and 192,896.63 is: 266,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,041.64 : 488,583.03 = 192,896.63 : x
  2. Step 2: Convert to fraction form
    354,041.64/488,583.03 = 192,896.63/x
  3. Step 3: Cross multiply
    354,041.64x = 488,583.03 × 192,896.63
  4. Step 4: Simplify right side
    354,041.64x = 94,246,017,519.27
  5. Step 5: Solve for x
    x = 94,246,017,519.27/354,041.64
  6. Step 6: Final answer
    x = 266,200.38

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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.