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Finding the Fourth Proportional to 311,903.40, 467,855.10 and 112,230.30

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Solution

The fourth proportional to 311,903.40, 467,855.10 and 112,230.30 is: 168,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,903.40 : 467,855.10 = 112,230.30 : x
  2. Step 2: Convert to fraction form
    311,903.40/467,855.10 = 112,230.30/x
  3. Step 3: Cross multiply
    311,903.40x = 467,855.10 × 112,230.30
  4. Step 4: Simplify right side
    311,903.40x = 52,507,518,229.53
  5. Step 5: Solve for x
    x = 52,507,518,229.53/311,903.40
  6. Step 6: Final answer
    x = 168,345.45

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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.