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Finding the Fourth Proportional to 422,817.06, 583,483.32 and 231,830.01

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Solution

The fourth proportional to 422,817.06, 583,483.32 and 231,830.01 is: 319,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,817.06 : 583,483.32 = 231,830.01 : x
  2. Step 2: Convert to fraction form
    422,817.06/583,483.32 = 231,830.01/x
  3. Step 3: Cross multiply
    422,817.06x = 583,483.32 × 231,830.01
  4. Step 4: Simplify right side
    422,817.06x = 135,268,943,910.43
  5. Step 5: Solve for x
    x = 135,268,943,910.43/422,817.06
  6. Step 6: Final answer
    x = 319,923.10

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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.