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Finding the Fourth Proportional to 328,214.80, 492,025.20 and 228,422.80

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Solution

The fourth proportional to 328,214.80, 492,025.20 and 228,422.80 is: 342,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,214.80 : 492,025.20 = 228,422.80 : x
  2. Step 2: Convert to fraction form
    328,214.80/492,025.20 = 228,422.80/x
  3. Step 3: Cross multiply
    328,214.80x = 492,025.20 × 228,422.80
  4. Step 4: Simplify right side
    328,214.80x = 112,389,773,854.56
  5. Step 5: Solve for x
    x = 112,389,773,854.56/328,214.80
  6. Step 6: Final answer
    x = 342,427.50

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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.