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Finding the Fourth Proportional to 294,397.34, 406,289.32 and 167,081.13

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Solution

The fourth proportional to 294,397.34, 406,289.32 and 167,081.13 is: 230,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,397.34 : 406,289.32 = 167,081.13 : x
  2. Step 2: Convert to fraction form
    294,397.34/406,289.32 = 167,081.13/x
  3. Step 3: Cross multiply
    294,397.34x = 406,289.32 × 167,081.13
  4. Step 4: Simplify right side
    294,397.34x = 67,883,278,274.83
  5. Step 5: Solve for x
    x = 67,883,278,274.83/294,397.34
  6. Step 6: Final answer
    x = 230,583.87

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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.