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Finding the Fourth Proportional to 505,689.96, 697,749.24 and 322,002.48

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Solution

The fourth proportional to 505,689.96, 697,749.24 and 322,002.48 is: 444,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,689.96 : 697,749.24 = 322,002.48 : x
  2. Step 2: Convert to fraction form
    505,689.96/697,749.24 = 322,002.48/x
  3. Step 3: Cross multiply
    505,689.96x = 697,749.24 × 322,002.48
  4. Step 4: Simplify right side
    505,689.96x = 224,676,985,698.12
  5. Step 5: Solve for x
    x = 224,676,985,698.12/505,689.96
  6. Step 6: Final answer
    x = 444,297.90

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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.