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Finding the Fourth Proportional to 408,071.40, 612,107.10 and 127,588.20

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Solution

The fourth proportional to 408,071.40, 612,107.10 and 127,588.20 is: 191,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,071.40 : 612,107.10 = 127,588.20 : x
  2. Step 2: Convert to fraction form
    408,071.40/612,107.10 = 127,588.20/x
  3. Step 3: Cross multiply
    408,071.40x = 612,107.10 × 127,588.20
  4. Step 4: Simplify right side
    408,071.40x = 78,097,643,096.22
  5. Step 5: Solve for x
    x = 78,097,643,096.22/408,071.40
  6. Step 6: Final answer
    x = 191,382.30

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