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Finding the Fourth Proportional to 256,300.20, 384,450.30 and 181,504.80

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Solution

The fourth proportional to 256,300.20, 384,450.30 and 181,504.80 is: 272,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,300.20 : 384,450.30 = 181,504.80 : x
  2. Step 2: Convert to fraction form
    256,300.20/384,450.30 = 181,504.80/x
  3. Step 3: Cross multiply
    256,300.20x = 384,450.30 × 181,504.80
  4. Step 4: Simplify right side
    256,300.20x = 69,779,574,811.44
  5. Step 5: Solve for x
    x = 69,779,574,811.44/256,300.20
  6. Step 6: Final answer
    x = 272,257.20

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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.