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Finding the Fourth Proportional to 432,163.67, 596,370.23 and 238,567.22

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Solution

The fourth proportional to 432,163.67, 596,370.23 and 238,567.22 is: 329,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,163.67 : 596,370.23 = 238,567.22 : x
  2. Step 2: Convert to fraction form
    432,163.67/596,370.23 = 238,567.22/x
  3. Step 3: Cross multiply
    432,163.67x = 596,370.23 × 238,567.22
  4. Step 4: Simplify right side
    432,163.67x = 142,274,390,424.39
  5. Step 5: Solve for x
    x = 142,274,390,424.39/432,163.67
  6. Step 6: Final answer
    x = 329,214.14

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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.