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Finding the Fourth Proportional to 414,416.80, 621,625.20 and 411,464.35

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Solution

The fourth proportional to 414,416.80, 621,625.20 and 411,464.35 is: 617,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,416.80 : 621,625.20 = 411,464.35 : x
  2. Step 2: Convert to fraction form
    414,416.80/621,625.20 = 411,464.35/x
  3. Step 3: Cross multiply
    414,416.80x = 621,625.20 × 411,464.35
  4. Step 4: Simplify right side
    414,416.80x = 255,776,608,861.62
  5. Step 5: Solve for x
    x = 255,776,608,861.62/414,416.80
  6. Step 6: Final answer
    x = 617,196.53

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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.