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Finding the Fourth Proportional to 542,896.51, 749,198.08 and 301,179.09

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Solution

The fourth proportional to 542,896.51, 749,198.08 and 301,179.09 is: 415,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,896.51 : 749,198.08 = 301,179.09 : x
  2. Step 2: Convert to fraction form
    542,896.51/749,198.08 = 301,179.09/x
  3. Step 3: Cross multiply
    542,896.51x = 749,198.08 × 301,179.09
  4. Step 4: Simplify right side
    542,896.51x = 225,642,795,964.15
  5. Step 5: Solve for x
    x = 225,642,795,964.15/542,896.51
  6. Step 6: Final answer
    x = 415,627.64

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1.5x scale

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.