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Finding the Fourth Proportional to 432,116.86, 596,321.31 and 238,524.64

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Solution

The fourth proportional to 432,116.86, 596,321.31 and 238,524.64 is: 329,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,116.86 : 596,321.31 = 238,524.64 : x
  2. Step 2: Convert to fraction form
    432,116.86/596,321.31 = 238,524.64/x
  3. Step 3: Cross multiply
    432,116.86x = 596,321.31 × 238,524.64
  4. Step 4: Simplify right side
    432,116.86x = 142,237,325,792.08
  5. Step 5: Solve for x
    x = 142,237,325,792.08/432,116.86
  6. Step 6: Final answer
    x = 329,164.03

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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.