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Finding the Fourth Proportional to 471,130.64, 650,401.16 and 363,458.96

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Solution

The fourth proportional to 471,130.64, 650,401.16 and 363,458.96 is: 501,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,130.64 : 650,401.16 = 363,458.96 : x
  2. Step 2: Convert to fraction form
    471,130.64/650,401.16 = 363,458.96/x
  3. Step 3: Cross multiply
    471,130.64x = 650,401.16 × 363,458.96
  4. Step 4: Simplify right side
    471,130.64x = 236,394,129,196.39
  5. Step 5: Solve for x
    x = 236,394,129,196.39/471,130.64
  6. Step 6: Final answer
    x = 501,759.19

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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.