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Finding the Fourth Proportional to 256,324.40, 384,371.40 and 98,500.40

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Solution

The fourth proportional to 256,324.40, 384,371.40 and 98,500.40 is: 147,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,324.40 : 384,371.40 = 98,500.40 : x
  2. Step 2: Convert to fraction form
    256,324.40/384,371.40 = 98,500.40/x
  3. Step 3: Cross multiply
    256,324.40x = 384,371.40 × 98,500.40
  4. Step 4: Simplify right side
    256,324.40x = 37,860,736,648.56
  5. Step 5: Solve for x
    x = 37,860,736,648.56/256,324.40
  6. Step 6: Final answer
    x = 147,706.33

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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.