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Finding the Fourth Proportional to 294,615.36, 406,554.72 and 167,274.24

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Solution

The fourth proportional to 294,615.36, 406,554.72 and 167,274.24 is: 230,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,615.36 : 406,554.72 = 167,274.24 : x
  2. Step 2: Convert to fraction form
    294,615.36/406,554.72 = 167,274.24/x
  3. Step 3: Cross multiply
    294,615.36x = 406,554.72 × 167,274.24
  4. Step 4: Simplify right side
    294,615.36x = 68,006,131,806.41
  5. Step 5: Solve for x
    x = 68,006,131,806.41/294,615.36
  6. Step 6: Final answer
    x = 230,830.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.