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Finding the Fourth Proportional to 311,209.40, 466,814.10 and 306,543.80

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Solution

The fourth proportional to 311,209.40, 466,814.10 and 306,543.80 is: 459,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,209.40 : 466,814.10 = 306,543.80 : x
  2. Step 2: Convert to fraction form
    311,209.40/466,814.10 = 306,543.80/x
  3. Step 3: Cross multiply
    311,209.40x = 466,814.10 × 306,543.80
  4. Step 4: Simplify right side
    311,209.40x = 143,098,968,107.58
  5. Step 5: Solve for x
    x = 143,098,968,107.58/311,209.40
  6. Step 6: Final answer
    x = 459,815.70

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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.