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Finding the Fourth Proportional to 294,117.84, 405,954.72 and 166,867.92

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Solution

The fourth proportional to 294,117.84, 405,954.72 and 166,867.92 is: 230,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,117.84 : 405,954.72 = 166,867.92 : x
  2. Step 2: Convert to fraction form
    294,117.84/405,954.72 = 166,867.92/x
  3. Step 3: Cross multiply
    294,117.84x = 405,954.72 × 166,867.92
  4. Step 4: Simplify right side
    294,117.84x = 67,740,819,740.58
  5. Step 5: Solve for x
    x = 67,740,819,740.58/294,117.84
  6. Step 6: Final answer
    x = 230,318.64

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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.