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Finding the Fourth Proportional to 471,598.12, 650,895.08 and 267,668.12

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Solution

The fourth proportional to 471,598.12, 650,895.08 and 267,668.12 is: 369,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,598.12 : 650,895.08 = 267,668.12 : x
  2. Step 2: Convert to fraction form
    471,598.12/650,895.08 = 267,668.12/x
  3. Step 3: Cross multiply
    471,598.12x = 650,895.08 × 267,668.12
  4. Step 4: Simplify right side
    471,598.12x = 174,223,861,042.51
  5. Step 5: Solve for x
    x = 174,223,861,042.51/471,598.12
  6. Step 6: Final answer
    x = 369,432.90

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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.