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Finding the Fourth Proportional to 294,998.88, 407,097.59 and 167,699.01

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Solution

The fourth proportional to 294,998.88, 407,097.59 and 167,699.01 is: 231,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,998.88 : 407,097.59 = 167,699.01 : x
  2. Step 2: Convert to fraction form
    294,998.88/407,097.59 = 167,699.01/x
  3. Step 3: Cross multiply
    294,998.88x = 407,097.59 × 167,699.01
  4. Step 4: Simplify right side
    294,998.88x = 68,269,861,977.89
  5. Step 5: Solve for x
    x = 68,269,861,977.89/294,998.88
  6. Step 6: Final answer
    x = 231,424.14

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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.