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Finding the Fourth Proportional to 462,493.44, 693,730.40 and 213,175.44

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Solution

The fourth proportional to 462,493.44, 693,730.40 and 213,175.44 is: 319,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,493.44 : 693,730.40 = 213,175.44 : x
  2. Step 2: Convert to fraction form
    462,493.44/693,730.40 = 213,175.44/x
  3. Step 3: Cross multiply
    462,493.44x = 693,730.40 × 213,175.44
  4. Step 4: Simplify right side
    462,493.44x = 147,886,283,261.38
  5. Step 5: Solve for x
    x = 147,886,283,261.38/462,493.44
  6. Step 6: Final answer
    x = 319,758.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.