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Finding the Fourth Proportional to 413,508.60, 570,597.48 and 232,240.32

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Solution

The fourth proportional to 413,508.60, 570,597.48 and 232,240.32 is: 320,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,508.60 : 570,597.48 = 232,240.32 : x
  2. Step 2: Convert to fraction form
    413,508.60/570,597.48 = 232,240.32/x
  3. Step 3: Cross multiply
    413,508.60x = 570,597.48 × 232,240.32
  4. Step 4: Simplify right side
    413,508.60x = 132,515,741,346.39
  5. Step 5: Solve for x
    x = 132,515,741,346.39/413,508.60
  6. Step 6: Final answer
    x = 320,466.71

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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.