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Finding the Fourth Proportional to 294,564.57, 406,501.83 and 167,242.89

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Solution

The fourth proportional to 294,564.57, 406,501.83 and 167,242.89 is: 230,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,564.57 : 406,501.83 = 167,242.89 : x
  2. Step 2: Convert to fraction form
    294,564.57/406,501.83 = 167,242.89/x
  3. Step 3: Cross multiply
    294,564.57x = 406,501.83 × 167,242.89
  4. Step 4: Simplify right side
    294,564.57x = 67,984,540,839.49
  5. Step 5: Solve for x
    x = 67,984,540,839.49/294,564.57
  6. Step 6: Final answer
    x = 230,796.73

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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.