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Finding the Fourth Proportional to 410,847.70, 616,271.55 and 341,727.70

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Solution

The fourth proportional to 410,847.70, 616,271.55 and 341,727.70 is: 512,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,847.70 : 616,271.55 = 341,727.70 : x
  2. Step 2: Convert to fraction form
    410,847.70/616,271.55 = 341,727.70/x
  3. Step 3: Cross multiply
    410,847.70x = 616,271.55 × 341,727.70
  4. Step 4: Simplify right side
    410,847.70x = 210,597,059,356.94
  5. Step 5: Solve for x
    x = 210,597,059,356.94/410,847.70
  6. Step 6: Final answer
    x = 512,591.55

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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.