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Finding the Fourth Proportional to 471,522.72, 650,785.68 and 301,751.04

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Solution

The fourth proportional to 471,522.72, 650,785.68 and 301,751.04 is: 416,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,522.72 : 650,785.68 = 301,751.04 : x
  2. Step 2: Convert to fraction form
    471,522.72/650,785.68 = 301,751.04/x
  3. Step 3: Cross multiply
    471,522.72x = 650,785.68 × 301,751.04
  4. Step 4: Simplify right side
    471,522.72x = 196,375,255,757.11
  5. Step 5: Solve for x
    x = 196,375,255,757.11/471,522.72
  6. Step 6: Final answer
    x = 416,470.40

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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.