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Finding the Fourth Proportional to 505,212.30, 697,269.60 and 314,287.20

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Solution

The fourth proportional to 505,212.30, 697,269.60 and 314,287.20 is: 433,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,212.30 : 697,269.60 = 314,287.20 : x
  2. Step 2: Convert to fraction form
    505,212.30/697,269.60 = 314,287.20/x
  3. Step 3: Cross multiply
    505,212.30x = 697,269.60 × 314,287.20
  4. Step 4: Simplify right side
    505,212.30x = 219,142,910,229.12
  5. Step 5: Solve for x
    x = 219,142,910,229.12/505,212.30
  6. Step 6: Final answer
    x = 433,764.00

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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.