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Finding the Fourth Proportional to 422,730.43, 583,355.93 and 241,438.61

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Solution

The fourth proportional to 422,730.43, 583,355.93 and 241,438.61 is: 333,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,730.43 : 583,355.93 = 241,438.61 : x
  2. Step 2: Convert to fraction form
    422,730.43/583,355.93 = 241,438.61/x
  3. Step 3: Cross multiply
    422,730.43x = 583,355.93 × 241,438.61
  4. Step 4: Simplify right side
    422,730.43x = 140,844,641,844.28
  5. Step 5: Solve for x
    x = 140,844,641,844.28/422,730.43
  6. Step 6: Final answer
    x = 333,178.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.