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Finding the Fourth Proportional to 456,308.50, 684,462.75 and 123,884.50

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Solution

The fourth proportional to 456,308.50, 684,462.75 and 123,884.50 is: 185,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,308.50 : 684,462.75 = 123,884.50 : x
  2. Step 2: Convert to fraction form
    456,308.50/684,462.75 = 123,884.50/x
  3. Step 3: Cross multiply
    456,308.50x = 684,462.75 × 123,884.50
  4. Step 4: Simplify right side
    456,308.50x = 84,794,325,552.38
  5. Step 5: Solve for x
    x = 84,794,325,552.38/456,308.50
  6. Step 6: Final answer
    x = 185,826.75

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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.