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Finding the Fourth Proportional to 310,570.46, 465,954.09 and 110,886.41

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Solution

The fourth proportional to 310,570.46, 465,954.09 and 110,886.41 is: 166,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,570.46 : 465,954.09 = 110,886.41 : x
  2. Step 2: Convert to fraction form
    310,570.46/465,954.09 = 110,886.41/x
  3. Step 3: Cross multiply
    310,570.46x = 465,954.09 × 110,886.41
  4. Step 4: Simplify right side
    310,570.46x = 51,667,976,264.92
  5. Step 5: Solve for x
    x = 51,667,976,264.92/310,570.46
  6. Step 6: Final answer
    x = 166,364.75

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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.