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Finding the Fourth Proportional to 301,892.28, 416,606.94 and 174,579.72

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Solution

The fourth proportional to 301,892.28, 416,606.94 and 174,579.72 is: 240,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,892.28 : 416,606.94 = 174,579.72 : x
  2. Step 2: Convert to fraction form
    301,892.28/416,606.94 = 174,579.72/x
  3. Step 3: Cross multiply
    301,892.28x = 416,606.94 × 174,579.72
  4. Step 4: Simplify right side
    301,892.28x = 72,731,122,935.26
  5. Step 5: Solve for x
    x = 72,731,122,935.26/301,892.28
  6. Step 6: Final answer
    x = 240,917.47

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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.