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Finding the Fourth Proportional to 301,678.80, 452,576.44 and 114,675.76

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Solution

The fourth proportional to 301,678.80, 452,576.44 and 114,675.76 is: 172,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,678.80 : 452,576.44 = 114,675.76 : x
  2. Step 2: Convert to fraction form
    301,678.80/452,576.44 = 114,675.76/x
  3. Step 3: Cross multiply
    301,678.80x = 452,576.44 × 114,675.76
  4. Step 4: Simplify right side
    301,678.80x = 51,899,547,215.09
  5. Step 5: Solve for x
    x = 51,899,547,215.09/301,678.80
  6. Step 6: Final answer
    x = 172,035.78

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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.