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Finding the Fourth Proportional to 301,479.56, 416,020.98 and 167,333

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Solution

The fourth proportional to 301,479.56, 416,020.98 and 167,333 is: 230,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,479.56 : 416,020.98 = 167,333 : x
  2. Step 2: Convert to fraction form
    301,479.56/416,020.98 = 167,333/x
  3. Step 3: Cross multiply
    301,479.56x = 416,020.98 × 167,333
  4. Step 4: Simplify right side
    301,479.56x = 69,614,038,646.34
  5. Step 5: Solve for x
    x = 69,614,038,646.34/301,479.56
  6. Step 6: Final answer
    x = 230,907.99

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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.