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Finding the Fourth Proportional to 405,178.56, 607,738.56 and 177,497.28

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Solution

The fourth proportional to 405,178.56, 607,738.56 and 177,497.28 is: 266,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,178.56 : 607,738.56 = 177,497.28 : x
  2. Step 2: Convert to fraction form
    405,178.56/607,738.56 = 177,497.28/x
  3. Step 3: Cross multiply
    405,178.56x = 607,738.56 × 177,497.28
  4. Step 4: Simplify right side
    405,178.56x = 107,871,941,351.12
  5. Step 5: Solve for x
    x = 107,871,941,351.12/405,178.56
  6. Step 6: Final answer
    x = 266,233.09

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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.