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Finding the Fourth Proportional to 432,121.66, 596,327.91 and 238,529.41

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Solution

The fourth proportional to 432,121.66, 596,327.91 and 238,529.41 is: 329,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,121.66 : 596,327.91 = 238,529.41 : x
  2. Step 2: Convert to fraction form
    432,121.66/596,327.91 = 238,529.41/x
  3. Step 3: Cross multiply
    432,121.66x = 596,327.91 × 238,529.41
  4. Step 4: Simplify right side
    432,121.66x = 142,241,744,538.83
  5. Step 5: Solve for x
    x = 142,241,744,538.83/432,121.66
  6. Step 6: Final answer
    x = 329,170.60

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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.