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Finding the Fourth Proportional to 482,458.50, 665,356.84 and 301,187.18

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Solution

The fourth proportional to 482,458.50, 665,356.84 and 301,187.18 is: 415,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,458.50 : 665,356.84 = 301,187.18 : x
  2. Step 2: Convert to fraction form
    482,458.50/665,356.84 = 301,187.18/x
  3. Step 3: Cross multiply
    482,458.50x = 665,356.84 × 301,187.18
  4. Step 4: Simplify right side
    482,458.50x = 200,396,951,243.74
  5. Step 5: Solve for x
    x = 200,396,951,243.74/482,458.50
  6. Step 6: Final answer
    x = 415,366.19

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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.