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Finding the Fourth Proportional to 542,834.14, 749,200.95 and 301,194.56

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Solution

The fourth proportional to 542,834.14, 749,200.95 and 301,194.56 is: 415,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,834.14 : 749,200.95 = 301,194.56 : x
  2. Step 2: Convert to fraction form
    542,834.14/749,200.95 = 301,194.56/x
  3. Step 3: Cross multiply
    542,834.14x = 749,200.95 × 301,194.56
  4. Step 4: Simplify right side
    542,834.14x = 225,655,250,486.83
  5. Step 5: Solve for x
    x = 225,655,250,486.83/542,834.14
  6. Step 6: Final answer
    x = 415,698.34

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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.