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Finding the Fourth Proportional to 432,138.21, 596,350.65 and 238,545.84

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Solution

The fourth proportional to 432,138.21, 596,350.65 and 238,545.84 is: 329,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,138.21 : 596,350.65 = 238,545.84 : x
  2. Step 2: Convert to fraction form
    432,138.21/596,350.65 = 238,545.84/x
  3. Step 3: Cross multiply
    432,138.21x = 596,350.65 × 238,545.84
  4. Step 4: Simplify right side
    432,138.21x = 142,256,966,738.80
  5. Step 5: Solve for x
    x = 142,256,966,738.80/432,138.21
  6. Step 6: Final answer
    x = 329,193.22

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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.