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Finding the Fourth Proportional to 358,969.40, 538,449.30 and 109,652.60

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Solution

The fourth proportional to 358,969.40, 538,449.30 and 109,652.60 is: 164,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,969.40 : 538,449.30 = 109,652.60 : x
  2. Step 2: Convert to fraction form
    358,969.40/538,449.30 = 109,652.60/x
  3. Step 3: Cross multiply
    358,969.40x = 538,449.30 × 109,652.60
  4. Step 4: Simplify right side
    358,969.40x = 59,042,365,713.18
  5. Step 5: Solve for x
    x = 59,042,365,713.18/358,969.40
  6. Step 6: Final answer
    x = 164,477.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.