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Finding the Fourth Proportional to 414,961.40, 622,442.10 and 411,024.80

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Solution

The fourth proportional to 414,961.40, 622,442.10 and 411,024.80 is: 616,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,961.40 : 622,442.10 = 411,024.80 : x
  2. Step 2: Convert to fraction form
    414,961.40/622,442.10 = 411,024.80/x
  3. Step 3: Cross multiply
    414,961.40x = 622,442.10 × 411,024.80
  4. Step 4: Simplify right side
    414,961.40x = 255,839,139,664.08
  5. Step 5: Solve for x
    x = 255,839,139,664.08/414,961.40
  6. Step 6: Final answer
    x = 616,537.20

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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.