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Finding the Fourth Proportional to 465,028.74, 697,546.85 and 128,088

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Solution

The fourth proportional to 465,028.74, 697,546.85 and 128,088 is: 192,133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,028.74 : 697,546.85 = 128,088 : x
  2. Step 2: Convert to fraction form
    465,028.74/697,546.85 = 128,088/x
  3. Step 3: Cross multiply
    465,028.74x = 697,546.85 × 128,088
  4. Step 4: Simplify right side
    465,028.74x = 89,347,380,282.36
  5. Step 5: Solve for x
    x = 89,347,380,282.36/465,028.74
  6. Step 6: Final answer
    x = 192,133.03

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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.