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Finding the Fourth Proportional to 415,706.20, 623,742.90 and 202,355.80

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Solution

The fourth proportional to 415,706.20, 623,742.90 and 202,355.80 is: 303,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,706.20 : 623,742.90 = 202,355.80 : x
  2. Step 2: Convert to fraction form
    415,706.20/623,742.90 = 202,355.80/x
  3. Step 3: Cross multiply
    415,706.20x = 623,742.90 × 202,355.80
  4. Step 4: Simplify right side
    415,706.20x = 126,217,993,523.82
  5. Step 5: Solve for x
    x = 126,217,993,523.82/415,706.20
  6. Step 6: Final answer
    x = 303,623.07

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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.