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Finding the Fourth Proportional to 405,172.56, 607,729.56 and 177,491.28

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Solution

The fourth proportional to 405,172.56, 607,729.56 and 177,491.28 is: 266,224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,172.56 : 607,729.56 = 177,491.28 : x
  2. Step 2: Convert to fraction form
    405,172.56/607,729.56 = 177,491.28/x
  3. Step 3: Cross multiply
    405,172.56x = 607,729.56 × 177,491.28
  4. Step 4: Simplify right side
    405,172.56x = 107,866,697,498.24
  5. Step 5: Solve for x
    x = 107,866,697,498.24/405,172.56
  6. Step 6: Final answer
    x = 266,224.09

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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.