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Finding the Fourth Proportional to 256,844.40, 385,266.60 and 178,047.60

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Solution

The fourth proportional to 256,844.40, 385,266.60 and 178,047.60 is: 267,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,844.40 : 385,266.60 = 178,047.60 : x
  2. Step 2: Convert to fraction form
    256,844.40/385,266.60 = 178,047.60/x
  3. Step 3: Cross multiply
    256,844.40x = 385,266.60 × 178,047.60
  4. Step 4: Simplify right side
    256,844.40x = 68,595,793,490.16
  5. Step 5: Solve for x
    x = 68,595,793,490.16/256,844.40
  6. Step 6: Final answer
    x = 267,071.40

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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.