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Finding the Fourth Proportional to 294,983.96, 407,112.84 and 167,678.69

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Solution

The fourth proportional to 294,983.96, 407,112.84 and 167,678.69 is: 231,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,983.96 : 407,112.84 = 167,678.69 : x
  2. Step 2: Convert to fraction form
    294,983.96/407,112.84 = 167,678.69/x
  3. Step 3: Cross multiply
    294,983.96x = 407,112.84 × 167,678.69
  4. Step 4: Simplify right side
    294,983.96x = 68,264,145,657.82
  5. Step 5: Solve for x
    x = 68,264,145,657.82/294,983.96
  6. Step 6: Final answer
    x = 231,416.47

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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.