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Finding the Fourth Proportional to 256,268.55, 384,408.90 and 78,777.10

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Solution

The fourth proportional to 256,268.55, 384,408.90 and 78,777.10 is: 118,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,268.55 : 384,408.90 = 78,777.10 : x
  2. Step 2: Convert to fraction form
    256,268.55/384,408.90 = 78,777.10/x
  3. Step 3: Cross multiply
    256,268.55x = 384,408.90 × 78,777.10
  4. Step 4: Simplify right side
    256,268.55x = 30,282,617,395.17
  5. Step 5: Solve for x
    x = 30,282,617,395.17/256,268.55
  6. Step 6: Final answer
    x = 118,167.51

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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.