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Finding the Fourth Proportional to 380,712.10, 525,186.17 and 258,163.04

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Solution

The fourth proportional to 380,712.10, 525,186.17 and 258,163.04 is: 356,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,712.10 : 525,186.17 = 258,163.04 : x
  2. Step 2: Convert to fraction form
    380,712.10/525,186.17 = 258,163.04/x
  3. Step 3: Cross multiply
    380,712.10x = 525,186.17 × 258,163.04
  4. Step 4: Simplify right side
    380,712.10x = 135,583,658,213.16
  5. Step 5: Solve for x
    x = 135,583,658,213.16/380,712.10
  6. Step 6: Final answer
    x = 356,131.73

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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.