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Finding the Fourth Proportional to 542,214.06, 812,992.68 and 242,638.80

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Solution

The fourth proportional to 542,214.06, 812,992.68 and 242,638.80 is: 363,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,214.06 : 812,992.68 = 242,638.80 : x
  2. Step 2: Convert to fraction form
    542,214.06/812,992.68 = 242,638.80/x
  3. Step 3: Cross multiply
    542,214.06x = 812,992.68 × 242,638.80
  4. Step 4: Simplify right side
    542,214.06x = 197,263,568,283.98
  5. Step 5: Solve for x
    x = 197,263,568,283.98/542,214.06
  6. Step 6: Final answer
    x = 363,811.24

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