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Finding the Fourth Proportional to 301,739.67, 416,442.78 and 201,312.63

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Solution

The fourth proportional to 301,739.67, 416,442.78 and 201,312.63 is: 277,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,739.67 : 416,442.78 = 201,312.63 : x
  2. Step 2: Convert to fraction form
    301,739.67/416,442.78 = 201,312.63/x
  3. Step 3: Cross multiply
    301,739.67x = 416,442.78 × 201,312.63
  4. Step 4: Simplify right side
    301,739.67x = 83,835,191,286.31
  5. Step 5: Solve for x
    x = 83,835,191,286.31/301,739.67
  6. Step 6: Final answer
    x = 277,839.47

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