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Finding the Fourth Proportional to 389,226.80, 583,840.20 and 256,257.20

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Solution

The fourth proportional to 389,226.80, 583,840.20 and 256,257.20 is: 384,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,226.80 : 583,840.20 = 256,257.20 : x
  2. Step 2: Convert to fraction form
    389,226.80/583,840.20 = 256,257.20/x
  3. Step 3: Cross multiply
    389,226.80x = 583,840.20 × 256,257.20
  4. Step 4: Simplify right side
    389,226.80x = 149,613,254,899.44
  5. Step 5: Solve for x
    x = 149,613,254,899.44/389,226.80
  6. Step 6: Final answer
    x = 384,385.80

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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.