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Finding the Fourth Proportional to 231,004.80, 346,507.20 and 213,724.80

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Solution

The fourth proportional to 231,004.80, 346,507.20 and 213,724.80 is: 320,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,004.80 : 346,507.20 = 213,724.80 : x
  2. Step 2: Convert to fraction form
    231,004.80/346,507.20 = 213,724.80/x
  3. Step 3: Cross multiply
    231,004.80x = 346,507.20 × 213,724.80
  4. Step 4: Simplify right side
    231,004.80x = 74,057,182,018.56
  5. Step 5: Solve for x
    x = 74,057,182,018.56/231,004.80
  6. Step 6: Final answer
    x = 320,587.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.