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Finding the Fourth Proportional to 432,313, 648,472.38 and 136,825

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Solution

The fourth proportional to 432,313, 648,472.38 and 136,825 is: 205,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,313 : 648,472.38 = 136,825 : x
  2. Step 2: Convert to fraction form
    432,313/648,472.38 = 136,825/x
  3. Step 3: Cross multiply
    432,313x = 648,472.38 × 136,825
  4. Step 4: Simplify right side
    432,313x = 88,727,233,393.50
  5. Step 5: Solve for x
    x = 88,727,233,393.50/432,313
  6. Step 6: Final answer
    x = 205,238.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.