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Finding the Fourth Proportional to 311,853.60, 467,780.40 and 307,706.40

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Solution

The fourth proportional to 311,853.60, 467,780.40 and 307,706.40 is: 461,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,853.60 : 467,780.40 = 307,706.40 : x
  2. Step 2: Convert to fraction form
    311,853.60/467,780.40 = 307,706.40/x
  3. Step 3: Cross multiply
    311,853.60x = 467,780.40 × 307,706.40
  4. Step 4: Simplify right side
    311,853.60x = 143,939,022,874.56
  5. Step 5: Solve for x
    x = 143,939,022,874.56/311,853.60
  6. Step 6: Final answer
    x = 461,559.60

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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.