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Finding the Fourth Proportional to 294,234.32, 405,938.93 and 192,318.64

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Solution

The fourth proportional to 294,234.32, 405,938.93 and 192,318.64 is: 265,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,234.32 : 405,938.93 = 192,318.64 : x
  2. Step 2: Convert to fraction form
    294,234.32/405,938.93 = 192,318.64/x
  3. Step 3: Cross multiply
    294,234.32x = 405,938.93 × 192,318.64
  4. Step 4: Simplify right side
    294,234.32x = 78,069,620,964.21
  5. Step 5: Solve for x
    x = 78,069,620,964.21/294,234.32
  6. Step 6: Final answer
    x = 265,331.46

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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.