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Finding the Fourth Proportional to 432,005.67, 596,163.65 and 238,415.18

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Solution

The fourth proportional to 432,005.67, 596,163.65 and 238,415.18 is: 329,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,005.67 : 596,163.65 = 238,415.18 : x
  2. Step 2: Convert to fraction form
    432,005.67/596,163.65 = 238,415.18/x
  3. Step 3: Cross multiply
    432,005.67x = 596,163.65 × 238,415.18
  4. Step 4: Simplify right side
    432,005.67x = 142,134,459,751.31
  5. Step 5: Solve for x
    x = 142,134,459,751.31/432,005.67
  6. Step 6: Final answer
    x = 329,010.63

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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.