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Finding the Fourth Proportional to 420,439.40, 630,659.10 and 414,909.80

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Solution

The fourth proportional to 420,439.40, 630,659.10 and 414,909.80 is: 622,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,439.40 : 630,659.10 = 414,909.80 : x
  2. Step 2: Convert to fraction form
    420,439.40/630,659.10 = 414,909.80/x
  3. Step 3: Cross multiply
    420,439.40x = 630,659.10 × 414,909.80
  4. Step 4: Simplify right side
    420,439.40x = 261,666,641,049.18
  5. Step 5: Solve for x
    x = 261,666,641,049.18/420,439.40
  6. Step 6: Final answer
    x = 622,364.70

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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.