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Finding the Fourth Proportional to 447,471.89, 617,538.76 and 256,513.98

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Solution

The fourth proportional to 447,471.89, 617,538.76 and 256,513.98 is: 354,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,471.89 : 617,538.76 = 256,513.98 : x
  2. Step 2: Convert to fraction form
    447,471.89/617,538.76 = 256,513.98/x
  3. Step 3: Cross multiply
    447,471.89x = 617,538.76 × 256,513.98
  4. Step 4: Simplify right side
    447,471.89x = 158,407,324,490.58
  5. Step 5: Solve for x
    x = 158,407,324,490.58/447,471.89
  6. Step 6: Final answer
    x = 354,005.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.