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Finding the Fourth Proportional to 256,076.40, 384,114.60 and 256,076.40

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Solution

The fourth proportional to 256,076.40, 384,114.60 and 256,076.40 is: 384,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,076.40 : 384,114.60 = 256,076.40 : x
  2. Step 2: Convert to fraction form
    256,076.40/384,114.60 = 256,076.40/x
  3. Step 3: Cross multiply
    256,076.40x = 384,114.60 × 256,076.40
  4. Step 4: Simplify right side
    256,076.40x = 98,362,683,955.44
  5. Step 5: Solve for x
    x = 98,362,683,955.44/256,076.40
  6. Step 6: Final answer
    x = 384,114.60

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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.