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Finding the Fourth Proportional to 471,416.39, 650,102.32 and 316,717.19

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Solution

The fourth proportional to 471,416.39, 650,102.32 and 316,717.19 is: 436,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,416.39 : 650,102.32 = 316,717.19 : x
  2. Step 2: Convert to fraction form
    471,416.39/650,102.32 = 316,717.19/x
  3. Step 3: Cross multiply
    471,416.39x = 650,102.32 × 316,717.19
  4. Step 4: Simplify right side
    471,416.39x = 205,898,580,002.88
  5. Step 5: Solve for x
    x = 205,898,580,002.88/471,416.39
  6. Step 6: Final answer
    x = 436,765.85

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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.