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Finding the Fourth Proportional to 407,758.28, 611,607.18 and 171,091.40

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Solution

The fourth proportional to 407,758.28, 611,607.18 and 171,091.40 is: 256,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,758.28 : 611,607.18 = 171,091.40 : x
  2. Step 2: Convert to fraction form
    407,758.28/611,607.18 = 171,091.40/x
  3. Step 3: Cross multiply
    407,758.28x = 611,607.18 × 171,091.40
  4. Step 4: Simplify right side
    407,758.28x = 104,640,728,676.25
  5. Step 5: Solve for x
    x = 104,640,728,676.25/407,758.28
  6. Step 6: Final answer
    x = 256,624.41

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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.