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Finding the Fourth Proportional to 306,738.92, 423,309.15 and 167,046.86

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Solution

The fourth proportional to 306,738.92, 423,309.15 and 167,046.86 is: 230,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,738.92 : 423,309.15 = 167,046.86 : x
  2. Step 2: Convert to fraction form
    306,738.92/423,309.15 = 167,046.86/x
  3. Step 3: Cross multiply
    306,738.92x = 423,309.15 × 167,046.86
  4. Step 4: Simplify right side
    306,738.92x = 70,712,462,200.22
  5. Step 5: Solve for x
    x = 70,712,462,200.22/306,738.92
  6. Step 6: Final answer
    x = 230,529.80

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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.