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Finding the Fourth Proportional to 311,205.40, 466,808.10 and 306,539.80

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Solution

The fourth proportional to 311,205.40, 466,808.10 and 306,539.80 is: 459,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,205.40 : 466,808.10 = 306,539.80 : x
  2. Step 2: Convert to fraction form
    311,205.40/466,808.10 = 306,539.80/x
  3. Step 3: Cross multiply
    311,205.40x = 466,808.10 × 306,539.80
  4. Step 4: Simplify right side
    311,205.40x = 143,095,261,612.38
  5. Step 5: Solve for x
    x = 143,095,261,612.38/311,205.40
  6. Step 6: Final answer
    x = 459,809.70

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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.