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Finding the Fourth Proportional to 432,186.42, 596,401.60 and 238,589.98

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Solution

The fourth proportional to 432,186.42, 596,401.60 and 238,589.98 is: 329,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,186.42 : 596,401.60 = 238,589.98 : x
  2. Step 2: Convert to fraction form
    432,186.42/596,401.60 = 238,589.98/x
  3. Step 3: Cross multiply
    432,186.42x = 596,401.60 × 238,589.98
  4. Step 4: Simplify right side
    432,186.42x = 142,295,444,175.85
  5. Step 5: Solve for x
    x = 142,295,444,175.85/432,186.42
  6. Step 6: Final answer
    x = 329,245.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.