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Finding the Fourth Proportional to 294,812.43, 406,842.56 and 167,495.01

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Solution

The fourth proportional to 294,812.43, 406,842.56 and 167,495.01 is: 231,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,812.43 : 406,842.56 = 167,495.01 : x
  2. Step 2: Convert to fraction form
    294,812.43/406,842.56 = 167,495.01/x
  3. Step 3: Cross multiply
    294,812.43x = 406,842.56 × 167,495.01
  4. Step 4: Simplify right side
    294,812.43x = 68,144,097,818.15
  5. Step 5: Solve for x
    x = 68,144,097,818.15/294,812.43
  6. Step 6: Final answer
    x = 231,143.91

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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.