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Finding the Fourth Proportional to 301,742.35, 453,009.31 and 202,347.45

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Solution

The fourth proportional to 301,742.35, 453,009.31 and 202,347.45 is: 303,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,742.35 : 453,009.31 = 202,347.45 : x
  2. Step 2: Convert to fraction form
    301,742.35/453,009.31 = 202,347.45/x
  3. Step 3: Cross multiply
    301,742.35x = 453,009.31 × 202,347.45
  4. Step 4: Simplify right side
    301,742.35x = 91,665,278,198.89
  5. Step 5: Solve for x
    x = 91,665,278,198.89/301,742.35
  6. Step 6: Final answer
    x = 303,786.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.