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Finding the Fourth Proportional to 407,847.60, 611,771.40 and 308,314.80

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Solution

The fourth proportional to 407,847.60, 611,771.40 and 308,314.80 is: 462,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,847.60 : 611,771.40 = 308,314.80 : x
  2. Step 2: Convert to fraction form
    407,847.60/611,771.40 = 308,314.80/x
  3. Step 3: Cross multiply
    407,847.60x = 611,771.40 × 308,314.80
  4. Step 4: Simplify right side
    407,847.60x = 188,618,176,836.72
  5. Step 5: Solve for x
    x = 188,618,176,836.72/407,847.60
  6. Step 6: Final answer
    x = 462,472.20

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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.