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Finding the Fourth Proportional to 385,846.98, 532,472.58 and 213,768.60

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Solution

The fourth proportional to 385,846.98, 532,472.58 and 213,768.60 is: 295,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,846.98 : 532,472.58 = 213,768.60 : x
  2. Step 2: Convert to fraction form
    385,846.98/532,472.58 = 213,768.60/x
  3. Step 3: Cross multiply
    385,846.98x = 532,472.58 × 213,768.60
  4. Step 4: Simplify right side
    385,846.98x = 113,825,917,964.99
  5. Step 5: Solve for x
    x = 113,825,917,964.99/385,846.98
  6. Step 6: Final answer
    x = 295,002.74

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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.