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Finding the Fourth Proportional to 422,973.99, 583,741.53 and 232,024.59

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Solution

The fourth proportional to 422,973.99, 583,741.53 and 232,024.59 is: 320,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,973.99 : 583,741.53 = 232,024.59 : x
  2. Step 2: Convert to fraction form
    422,973.99/583,741.53 = 232,024.59/x
  3. Step 3: Cross multiply
    422,973.99x = 583,741.53 × 232,024.59
  4. Step 4: Simplify right side
    422,973.99x = 135,442,389,164.22
  5. Step 5: Solve for x
    x = 135,442,389,164.22/422,973.99
  6. Step 6: Final answer
    x = 320,214.46

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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.