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Finding the Fourth Proportional to 340,047.32, 469,257.72 and 196,804.49

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Solution

The fourth proportional to 340,047.32, 469,257.72 and 196,804.49 is: 271,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,047.32 : 469,257.72 = 196,804.49 : x
  2. Step 2: Convert to fraction form
    340,047.32/469,257.72 = 196,804.49/x
  3. Step 3: Cross multiply
    340,047.32x = 469,257.72 × 196,804.49
  4. Step 4: Simplify right side
    340,047.32x = 92,352,026,263.16
  5. Step 5: Solve for x
    x = 92,352,026,263.16/340,047.32
  6. Step 6: Final answer
    x = 271,585.81

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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.