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Finding the Fourth Proportional to 294,005.67, 405,678.64 and 173,171.02

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Solution

The fourth proportional to 294,005.67, 405,678.64 and 173,171.02 is: 238,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,005.67 : 405,678.64 = 173,171.02 : x
  2. Step 2: Convert to fraction form
    294,005.67/405,678.64 = 173,171.02/x
  3. Step 3: Cross multiply
    294,005.67x = 405,678.64 × 173,171.02
  4. Step 4: Simplify right side
    294,005.67x = 70,251,783,881.01
  5. Step 5: Solve for x
    x = 70,251,783,881.01/294,005.67
  6. Step 6: Final answer
    x = 238,947.04

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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.