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Finding the Fourth Proportional to 311,534.78, 467,302.22 and 98,324.25

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Solution

The fourth proportional to 311,534.78, 467,302.22 and 98,324.25 is: 147,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,534.78 : 467,302.22 = 98,324.25 : x
  2. Step 2: Convert to fraction form
    311,534.78/467,302.22 = 98,324.25/x
  3. Step 3: Cross multiply
    311,534.78x = 467,302.22 × 98,324.25
  4. Step 4: Simplify right side
    311,534.78x = 45,947,139,813.21
  5. Step 5: Solve for x
    x = 45,947,139,813.21/311,534.78
  6. Step 6: Final answer
    x = 147,486.39

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1.5x scale

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.