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Finding the Fourth Proportional to 416,465.80, 624,514.02 and 191,771.80

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Solution

The fourth proportional to 416,465.80, 624,514.02 and 191,771.80 is: 287,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,465.80 : 624,514.02 = 191,771.80 : x
  2. Step 2: Convert to fraction form
    416,465.80/624,514.02 = 191,771.80/x
  3. Step 3: Cross multiply
    416,465.80x = 624,514.02 × 191,771.80
  4. Step 4: Simplify right side
    416,465.80x = 119,764,177,740.64
  5. Step 5: Solve for x
    x = 119,764,177,740.64/416,465.80
  6. Step 6: Final answer
    x = 287,572.66

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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.