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Finding the Fourth Proportional to 341,257.46, 470,945.13 and 188,305.49

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Solution

The fourth proportional to 341,257.46, 470,945.13 and 188,305.49 is: 259,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,257.46 : 470,945.13 = 188,305.49 : x
  2. Step 2: Convert to fraction form
    341,257.46/470,945.13 = 188,305.49/x
  3. Step 3: Cross multiply
    341,257.46x = 470,945.13 × 188,305.49
  4. Step 4: Simplify right side
    341,257.46x = 88,681,551,113.04
  5. Step 5: Solve for x
    x = 88,681,551,113.04/341,257.46
  6. Step 6: Final answer
    x = 259,867.00

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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.