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Finding the Fourth Proportional to 411,968.34, 617,453.50 and 174,812.80

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Solution

The fourth proportional to 411,968.34, 617,453.50 and 174,812.80 is: 262,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,968.34 : 617,453.50 = 174,812.80 : x
  2. Step 2: Convert to fraction form
    411,968.34/617,453.50 = 174,812.80/x
  3. Step 3: Cross multiply
    411,968.34x = 617,453.50 × 174,812.80
  4. Step 4: Simplify right side
    411,968.34x = 107,938,775,204.80
  5. Step 5: Solve for x
    x = 107,938,775,204.80/411,968.34
  6. Step 6: Final answer
    x = 262,007.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.