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Finding the Fourth Proportional to 411,132.56, 567,457.68 and 267,642.64

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Solution

The fourth proportional to 411,132.56, 567,457.68 and 267,642.64 is: 369,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,132.56 : 567,457.68 = 267,642.64 : x
  2. Step 2: Convert to fraction form
    411,132.56/567,457.68 = 267,642.64/x
  3. Step 3: Cross multiply
    411,132.56x = 567,457.68 × 267,642.64
  4. Step 4: Simplify right side
    411,132.56x = 151,875,871,563.48
  5. Step 5: Solve for x
    x = 151,875,871,563.48/411,132.56
  6. Step 6: Final answer
    x = 369,408.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.