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Finding the Fourth Proportional to 432,063.48, 596,202.38 and 238,467.62

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Solution

The fourth proportional to 432,063.48, 596,202.38 and 238,467.62 is: 329,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,063.48 : 596,202.38 = 238,467.62 : x
  2. Step 2: Convert to fraction form
    432,063.48/596,202.38 = 238,467.62/x
  3. Step 3: Cross multiply
    432,063.48x = 596,202.38 × 238,467.62
  4. Step 4: Simplify right side
    432,063.48x = 142,174,962,596.94
  5. Step 5: Solve for x
    x = 142,174,962,596.94/432,063.48
  6. Step 6: Final answer
    x = 329,060.36

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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.