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Finding the Fourth Proportional to 422,980.70, 583,734.79 and 232,011.90

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Solution

The fourth proportional to 422,980.70, 583,734.79 and 232,011.90 is: 320,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,980.70 : 583,734.79 = 232,011.90 : x
  2. Step 2: Convert to fraction form
    422,980.70/583,734.79 = 232,011.90/x
  3. Step 3: Cross multiply
    422,980.70x = 583,734.79 × 232,011.90
  4. Step 4: Simplify right side
    422,980.70x = 135,433,417,724.00
  5. Step 5: Solve for x
    x = 135,433,417,724.00/422,980.70
  6. Step 6: Final answer
    x = 320,188.17

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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.