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Finding the Fourth Proportional to 455,998.50, 684,000.18 and 123,574.50

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Solution

The fourth proportional to 455,998.50, 684,000.18 and 123,574.50 is: 185,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,998.50 : 684,000.18 = 123,574.50 : x
  2. Step 2: Convert to fraction form
    455,998.50/684,000.18 = 123,574.50/x
  3. Step 3: Cross multiply
    455,998.50x = 684,000.18 × 123,574.50
  4. Step 4: Simplify right side
    455,998.50x = 84,524,980,243.41
  5. Step 5: Solve for x
    x = 84,524,980,243.41/455,998.50
  6. Step 6: Final answer
    x = 185,362.41

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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.