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Finding the Fourth Proportional to 311,045.74, 466,650.09 and 97,805.05

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Solution

The fourth proportional to 311,045.74, 466,650.09 and 97,805.05 is: 146,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,045.74 : 466,650.09 = 97,805.05 : x
  2. Step 2: Convert to fraction form
    311,045.74/466,650.09 = 97,805.05/x
  3. Step 3: Cross multiply
    311,045.74x = 466,650.09 × 97,805.05
  4. Step 4: Simplify right side
    311,045.74x = 45,640,734,218.33
  5. Step 5: Solve for x
    x = 45,640,734,218.33/311,045.74
  6. Step 6: Final answer
    x = 146,733.19

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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.