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Finding the Fourth Proportional to 410,824.70, 616,237.05 and 341,704.70

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Solution

The fourth proportional to 410,824.70, 616,237.05 and 341,704.70 is: 512,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,824.70 : 616,237.05 = 341,704.70 : x
  2. Step 2: Convert to fraction form
    410,824.70/616,237.05 = 341,704.70/x
  3. Step 3: Cross multiply
    410,824.70x = 616,237.05 × 341,704.70
  4. Step 4: Simplify right side
    410,824.70x = 210,571,096,299.14
  5. Step 5: Solve for x
    x = 210,571,096,299.14/410,824.70
  6. Step 6: Final answer
    x = 512,557.05

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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.