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Finding the Fourth Proportional to 414,977.80, 621,591.90 and 414,977.80

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Solution

The fourth proportional to 414,977.80, 621,591.90 and 414,977.80 is: 621,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,977.80 : 621,591.90 = 414,977.80 : x
  2. Step 2: Convert to fraction form
    414,977.80/621,591.90 = 414,977.80/x
  3. Step 3: Cross multiply
    414,977.80x = 621,591.90 × 414,977.80
  4. Step 4: Simplify right side
    414,977.80x = 257,946,839,159.82
  5. Step 5: Solve for x
    x = 257,946,839,159.82/414,977.80
  6. Step 6: Final answer
    x = 621,591.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.