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Finding the Fourth Proportional to 256,906.77, 384,861.47 and 189,316.13

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Solution

The fourth proportional to 256,906.77, 384,861.47 and 189,316.13 is: 283,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,906.77 : 384,861.47 = 189,316.13 : x
  2. Step 2: Convert to fraction form
    256,906.77/384,861.47 = 189,316.13/x
  3. Step 3: Cross multiply
    256,906.77x = 384,861.47 × 189,316.13
  4. Step 4: Simplify right side
    256,906.77x = 72,860,481,215.62
  5. Step 5: Solve for x
    x = 72,860,481,215.62/256,906.77
  6. Step 6: Final answer
    x = 283,606.70

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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.