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Finding the Fourth Proportional to 656,596.80, 984,895.20 and 420,206.40

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Solution

The fourth proportional to 656,596.80, 984,895.20 and 420,206.40 is: 630,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,596.80 : 984,895.20 = 420,206.40 : x
  2. Step 2: Convert to fraction form
    656,596.80/984,895.20 = 420,206.40/x
  3. Step 3: Cross multiply
    656,596.80x = 984,895.20 × 420,206.40
  4. Step 4: Simplify right side
    656,596.80x = 413,859,266,369.28
  5. Step 5: Solve for x
    x = 413,859,266,369.28/656,596.80
  6. Step 6: Final answer
    x = 630,309.60

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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.