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Finding the Fourth Proportional to 406,803.60, 610,205.40 and 217,846.80

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Solution

The fourth proportional to 406,803.60, 610,205.40 and 217,846.80 is: 326,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,803.60 : 610,205.40 = 217,846.80 : x
  2. Step 2: Convert to fraction form
    406,803.60/610,205.40 = 217,846.80/x
  3. Step 3: Cross multiply
    406,803.60x = 610,205.40 × 217,846.80
  4. Step 4: Simplify right side
    406,803.60x = 132,931,293,732.72
  5. Step 5: Solve for x
    x = 132,931,293,732.72/406,803.60
  6. Step 6: Final answer
    x = 326,770.20

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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.