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Finding the Fourth Proportional to 355,855.34, 491,031.92 and 212,584.96

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Solution

The fourth proportional to 355,855.34, 491,031.92 and 212,584.96 is: 293,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,855.34 : 491,031.92 = 212,584.96 : x
  2. Step 2: Convert to fraction form
    355,855.34/491,031.92 = 212,584.96/x
  3. Step 3: Cross multiply
    355,855.34x = 491,031.92 × 212,584.96
  4. Step 4: Simplify right side
    355,855.34x = 104,386,001,071.92
  5. Step 5: Solve for x
    x = 104,386,001,071.92/355,855.34
  6. Step 6: Final answer
    x = 293,338.30

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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.