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Finding the Fourth Proportional to 432,493.50, 596,838.66 and 238,914.54

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Solution

The fourth proportional to 432,493.50, 596,838.66 and 238,914.54 is: 329,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,493.50 : 596,838.66 = 238,914.54 : x
  2. Step 2: Convert to fraction form
    432,493.50/596,838.66 = 238,914.54/x
  3. Step 3: Cross multiply
    432,493.50x = 596,838.66 × 238,914.54
  4. Step 4: Simplify right side
    432,493.50x = 142,593,433,012.19
  5. Step 5: Solve for x
    x = 142,593,433,012.19/432,493.50
  6. Step 6: Final answer
    x = 329,700.75

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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.