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Finding the Fourth Proportional to 413,581.31, 570,795.74 and 232,293.24

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Solution

The fourth proportional to 413,581.31, 570,795.74 and 232,293.24 is: 320,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,581.31 : 570,795.74 = 232,293.24 : x
  2. Step 2: Convert to fraction form
    413,581.31/570,795.74 = 232,293.24/x
  3. Step 3: Cross multiply
    413,581.31x = 570,795.74 × 232,293.24
  4. Step 4: Simplify right side
    413,581.31x = 132,591,991,532.43
  5. Step 5: Solve for x
    x = 132,591,991,532.43/413,581.31
  6. Step 6: Final answer
    x = 320,594.74

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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.