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Finding the Fourth Proportional to 294,706.71, 406,729.83 and 165,645.36

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Solution

The fourth proportional to 294,706.71, 406,729.83 and 165,645.36 is: 228,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,706.71 : 406,729.83 = 165,645.36 : x
  2. Step 2: Convert to fraction form
    294,706.71/406,729.83 = 165,645.36/x
  3. Step 3: Cross multiply
    294,706.71x = 406,729.83 × 165,645.36
  4. Step 4: Simplify right side
    294,706.71x = 67,372,909,113.09
  5. Step 5: Solve for x
    x = 67,372,909,113.09/294,706.71
  6. Step 6: Final answer
    x = 228,610.03

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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.