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Finding the Fourth Proportional to 301,676.80, 452,573.44 and 114,673.76

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Solution

The fourth proportional to 301,676.80, 452,573.44 and 114,673.76 is: 172,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,676.80 : 452,573.44 = 114,673.76 : x
  2. Step 2: Convert to fraction form
    301,676.80/452,573.44 = 114,673.76/x
  3. Step 3: Cross multiply
    301,676.80x = 452,573.44 × 114,673.76
  4. Step 4: Simplify right side
    301,676.80x = 51,898,298,040.93
  5. Step 5: Solve for x
    x = 51,898,298,040.93/301,676.80
  6. Step 6: Final answer
    x = 172,032.78

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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.