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Finding the Fourth Proportional to 469,200.19, 647,078.19 and 365,860

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Solution

The fourth proportional to 469,200.19, 647,078.19 and 365,860 is: 504,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,200.19 : 647,078.19 = 365,860 : x
  2. Step 2: Convert to fraction form
    469,200.19/647,078.19 = 365,860/x
  3. Step 3: Cross multiply
    469,200.19x = 647,078.19 × 365,860
  4. Step 4: Simplify right side
    469,200.19x = 236,740,026,593.40
  5. Step 5: Solve for x
    x = 236,740,026,593.40/469,200.19
  6. Step 6: Final answer
    x = 504,560.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.