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Finding the Fourth Proportional to 294,478.68, 406,387.26 and 167,142.36

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Solution

The fourth proportional to 294,478.68, 406,387.26 and 167,142.36 is: 230,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,478.68 : 406,387.26 = 167,142.36 : x
  2. Step 2: Convert to fraction form
    294,478.68/406,387.26 = 167,142.36/x
  3. Step 3: Cross multiply
    294,478.68x = 406,387.26 × 167,142.36
  4. Step 4: Simplify right side
    294,478.68x = 67,924,525,710.33
  5. Step 5: Solve for x
    x = 67,924,525,710.33/294,478.68
  6. Step 6: Final answer
    x = 230,660.25

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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.