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Finding the Fourth Proportional to 423,221.76, 584,044.43 and 232,238.34

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Solution

The fourth proportional to 423,221.76, 584,044.43 and 232,238.34 is: 320,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,221.76 : 584,044.43 = 232,238.34 : x
  2. Step 2: Convert to fraction form
    423,221.76/584,044.43 = 232,238.34/x
  3. Step 3: Cross multiply
    423,221.76x = 584,044.43 × 232,238.34
  4. Step 4: Simplify right side
    423,221.76x = 135,637,507,748.26
  5. Step 5: Solve for x
    x = 135,637,507,748.26/423,221.76
  6. Step 6: Final answer
    x = 320,488.03

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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.