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Finding the Fourth Proportional to 542,833.14, 749,199.56 and 301,193.56

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Solution

The fourth proportional to 542,833.14, 749,199.56 and 301,193.56 is: 415,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,833.14 : 749,199.56 = 301,193.56 : x
  2. Step 2: Convert to fraction form
    542,833.14/749,199.56 = 301,193.56/x
  3. Step 3: Cross multiply
    542,833.14x = 749,199.56 × 301,193.56
  4. Step 4: Simplify right side
    542,833.14x = 225,654,087,129.36
  5. Step 5: Solve for x
    x = 225,654,087,129.36/542,833.14
  6. Step 6: Final answer
    x = 415,696.96

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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.