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Finding the Fourth Proportional to 385,796.96, 532,394.06 and 213,714.41

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Solution

The fourth proportional to 385,796.96, 532,394.06 and 213,714.41 is: 294,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,796.96 : 532,394.06 = 213,714.41 : x
  2. Step 2: Convert to fraction form
    385,796.96/532,394.06 = 213,714.41/x
  3. Step 3: Cross multiply
    385,796.96x = 532,394.06 × 213,714.41
  4. Step 4: Simplify right side
    385,796.96x = 113,780,282,420.41
  5. Step 5: Solve for x
    x = 113,780,282,420.41/385,796.96
  6. Step 6: Final answer
    x = 294,922.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.