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Finding the Fourth Proportional to 462,845.82, 638,544.63 and 290,662.50

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Solution

The fourth proportional to 462,845.82, 638,544.63 and 290,662.50 is: 400,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,845.82 : 638,544.63 = 290,662.50 : x
  2. Step 2: Convert to fraction form
    462,845.82/638,544.63 = 290,662.50/x
  3. Step 3: Cross multiply
    462,845.82x = 638,544.63 × 290,662.50
  4. Step 4: Simplify right side
    462,845.82x = 185,600,978,517.38
  5. Step 5: Solve for x
    x = 185,600,978,517.38/462,845.82
  6. Step 6: Final answer
    x = 400,999.58

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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.