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Finding the Fourth Proportional to 978,893.94, 1,468,380.73 and 466,295.57

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Solution

The fourth proportional to 978,893.94, 1,468,380.73 and 466,295.57 is: 699,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,893.94 : 1,468,380.73 = 466,295.57 : x
  2. Step 2: Convert to fraction form
    978,893.94/1,468,380.73 = 466,295.57/x
  3. Step 3: Cross multiply
    978,893.94x = 1,468,380.73 × 466,295.57
  4. Step 4: Simplify right side
    978,893.94x = 684,699,435,605.10
  5. Step 5: Solve for x
    x = 684,699,435,605.10/978,893.94
  6. Step 6: Final answer
    x = 699,462.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.