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Finding the Fourth Proportional to 307,204.32, 423,890.40 and 171,208.40

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Solution

The fourth proportional to 307,204.32, 423,890.40 and 171,208.40 is: 236,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,204.32 : 423,890.40 = 171,208.40 : x
  2. Step 2: Convert to fraction form
    307,204.32/423,890.40 = 171,208.40/x
  3. Step 3: Cross multiply
    307,204.32x = 423,890.40 × 171,208.40
  4. Step 4: Simplify right side
    307,204.32x = 72,573,597,159.36
  5. Step 5: Solve for x
    x = 72,573,597,159.36/307,204.32
  6. Step 6: Final answer
    x = 236,238.86

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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.