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Finding the Fourth Proportional to 331,411.18, 457,201.92 and 223,942

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Solution

The fourth proportional to 331,411.18, 457,201.92 and 223,942 is: 308,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,411.18 : 457,201.92 = 223,942 : x
  2. Step 2: Convert to fraction form
    331,411.18/457,201.92 = 223,942/x
  3. Step 3: Cross multiply
    331,411.18x = 457,201.92 × 223,942
  4. Step 4: Simplify right side
    331,411.18x = 102,386,712,368.64
  5. Step 5: Solve for x
    x = 102,386,712,368.64/331,411.18
  6. Step 6: Final answer
    x = 308,941.64

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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.