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Finding the Fourth Proportional to 256,064.40, 384,096.60 and 78,598.80

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Solution

The fourth proportional to 256,064.40, 384,096.60 and 78,598.80 is: 117,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,064.40 : 384,096.60 = 78,598.80 : x
  2. Step 2: Convert to fraction form
    256,064.40/384,096.60 = 78,598.80/x
  3. Step 3: Cross multiply
    256,064.40x = 384,096.60 × 78,598.80
  4. Step 4: Simplify right side
    256,064.40x = 30,189,531,844.08
  5. Step 5: Solve for x
    x = 30,189,531,844.08/256,064.40
  6. Step 6: Final answer
    x = 117,898.20

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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.