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Finding the Fourth Proportional to 294,952.46, 407,068.94 and 167,647.19

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Solution

The fourth proportional to 294,952.46, 407,068.94 and 167,647.19 is: 231,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,952.46 : 407,068.94 = 167,647.19 : x
  2. Step 2: Convert to fraction form
    294,952.46/407,068.94 = 167,647.19/x
  3. Step 3: Cross multiply
    294,952.46x = 407,068.94 × 167,647.19
  4. Step 4: Simplify right side
    294,952.46x = 68,243,962,311.05
  5. Step 5: Solve for x
    x = 68,243,962,311.05/294,952.46
  6. Step 6: Final answer
    x = 231,372.76

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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.