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Finding the Fourth Proportional to 454,871.70, 682,307.55 and 277,724.70

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Solution

The fourth proportional to 454,871.70, 682,307.55 and 277,724.70 is: 416,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,871.70 : 682,307.55 = 277,724.70 : x
  2. Step 2: Convert to fraction form
    454,871.70/682,307.55 = 277,724.70/x
  3. Step 3: Cross multiply
    454,871.70x = 682,307.55 × 277,724.70
  4. Step 4: Simplify right side
    454,871.70x = 189,493,659,631.49
  5. Step 5: Solve for x
    x = 189,493,659,631.49/454,871.70
  6. Step 6: Final answer
    x = 416,587.05

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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.