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Finding the Fourth Proportional to 313,591.80, 470,387.70 and 308,407.80

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Solution

The fourth proportional to 313,591.80, 470,387.70 and 308,407.80 is: 462,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,591.80 : 470,387.70 = 308,407.80 : x
  2. Step 2: Convert to fraction form
    313,591.80/470,387.70 = 308,407.80/x
  3. Step 3: Cross multiply
    313,591.80x = 470,387.70 × 308,407.80
  4. Step 4: Simplify right side
    313,591.80x = 145,071,235,704.06
  5. Step 5: Solve for x
    x = 145,071,235,704.06/313,591.80
  6. Step 6: Final answer
    x = 462,611.70

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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.