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Finding the Fourth Proportional to 294,556.46, 406,462.98 and 165,484.82

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Solution

The fourth proportional to 294,556.46, 406,462.98 and 165,484.82 is: 228,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,556.46 : 406,462.98 = 165,484.82 : x
  2. Step 2: Convert to fraction form
    294,556.46/406,462.98 = 165,484.82/x
  3. Step 3: Cross multiply
    294,556.46x = 406,462.98 × 165,484.82
  4. Step 4: Simplify right side
    294,556.46x = 67,263,450,222.22
  5. Step 5: Solve for x
    x = 67,263,450,222.22/294,556.46
  6. Step 6: Final answer
    x = 228,355.03

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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.