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Finding the Fourth Proportional to 414,963.30, 621,570.15 and 414,963.30

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Solution

The fourth proportional to 414,963.30, 621,570.15 and 414,963.30 is: 621,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,963.30 : 621,570.15 = 414,963.30 : x
  2. Step 2: Convert to fraction form
    414,963.30/621,570.15 = 414,963.30/x
  3. Step 3: Cross multiply
    414,963.30x = 621,570.15 × 414,963.30
  4. Step 4: Simplify right side
    414,963.30x = 257,928,800,625.50
  5. Step 5: Solve for x
    x = 257,928,800,625.50/414,963.30
  6. Step 6: Final answer
    x = 621,570.15

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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.