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Finding the Fourth Proportional to 256,098.30, 384,147.45 and 224,994.30

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Solution

The fourth proportional to 256,098.30, 384,147.45 and 224,994.30 is: 337,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.30 : 384,147.45 = 224,994.30 : x
  2. Step 2: Convert to fraction form
    256,098.30/384,147.45 = 224,994.30/x
  3. Step 3: Cross multiply
    256,098.30x = 384,147.45 × 224,994.30
  4. Step 4: Simplify right side
    256,098.30x = 86,430,986,609.54
  5. Step 5: Solve for x
    x = 86,430,986,609.54/256,098.30
  6. Step 6: Final answer
    x = 337,491.45

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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.