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Finding the Fourth Proportional to 294,479.68, 406,388.64 and 167,143.36

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Solution

The fourth proportional to 294,479.68, 406,388.64 and 167,143.36 is: 230,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,479.68 : 406,388.64 = 167,143.36 : x
  2. Step 2: Convert to fraction form
    294,479.68/406,388.64 = 167,143.36/x
  3. Step 3: Cross multiply
    294,479.68x = 406,388.64 × 167,143.36
  4. Step 4: Simplify right side
    294,479.68x = 67,925,162,755.43
  5. Step 5: Solve for x
    x = 67,925,162,755.43/294,479.68
  6. Step 6: Final answer
    x = 230,661.63

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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.