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Finding the Fourth Proportional to 542,904.82, 814,357.24 and 294,072.82

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Solution

The fourth proportional to 542,904.82, 814,357.24 and 294,072.82 is: 441,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,904.82 : 814,357.24 = 294,072.82 : x
  2. Step 2: Convert to fraction form
    542,904.82/814,357.24 = 294,072.82/x
  3. Step 3: Cross multiply
    542,904.82x = 814,357.24 × 294,072.82
  4. Step 4: Simplify right side
    542,904.82x = 239,480,330,054.22
  5. Step 5: Solve for x
    x = 239,480,330,054.22/542,904.82
  6. Step 6: Final answer
    x = 441,109.24

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.