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Finding the Fourth Proportional to 295,027.44, 407,286.09 and 174,206.58

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Solution

The fourth proportional to 295,027.44, 407,286.09 and 174,206.58 is: 240,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,027.44 : 407,286.09 = 174,206.58 : x
  2. Step 2: Convert to fraction form
    295,027.44/407,286.09 = 174,206.58/x
  3. Step 3: Cross multiply
    295,027.44x = 407,286.09 × 174,206.58
  4. Step 4: Simplify right side
    295,027.44x = 70,951,916,820.47
  5. Step 5: Solve for x
    x = 70,951,916,820.47/295,027.44
  6. Step 6: Final answer
    x = 240,492.60

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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.