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Finding the Fourth Proportional to 511,981.79, 768,315.50 and 212,462.68

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Solution

The fourth proportional to 511,981.79, 768,315.50 and 212,462.68 is: 318,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,981.79 : 768,315.50 = 212,462.68 : x
  2. Step 2: Convert to fraction form
    511,981.79/768,315.50 = 212,462.68/x
  3. Step 3: Cross multiply
    511,981.79x = 768,315.50 × 212,462.68
  4. Step 4: Simplify right side
    511,981.79x = 163,238,370,215.54
  5. Step 5: Solve for x
    x = 163,238,370,215.54/511,981.79
  6. Step 6: Final answer
    x = 318,836.28

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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.