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Finding the Fourth Proportional to 471,396.34, 650,541.57 and 267,455.80

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Solution

The fourth proportional to 471,396.34, 650,541.57 and 267,455.80 is: 369,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,396.34 : 650,541.57 = 267,455.80 : x
  2. Step 2: Convert to fraction form
    471,396.34/650,541.57 = 267,455.80/x
  3. Step 3: Cross multiply
    471,396.34x = 650,541.57 × 267,455.80
  4. Step 4: Simplify right side
    471,396.34x = 173,991,116,037.61
  5. Step 5: Solve for x
    x = 173,991,116,037.61/471,396.34
  6. Step 6: Final answer
    x = 369,097.30

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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.