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Finding the Fourth Proportional to 256,000.40, 384,000.60 and 89,805.20

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Solution

The fourth proportional to 256,000.40, 384,000.60 and 89,805.20 is: 134,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000.40 : 384,000.60 = 89,805.20 : x
  2. Step 2: Convert to fraction form
    256,000.40/384,000.60 = 89,805.20/x
  3. Step 3: Cross multiply
    256,000.40x = 384,000.60 × 89,805.20
  4. Step 4: Simplify right side
    256,000.40x = 34,485,250,683.12
  5. Step 5: Solve for x
    x = 34,485,250,683.12/256,000.40
  6. Step 6: Final answer
    x = 134,707.80

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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.