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Finding the Fourth Proportional to 294,960, 442,441.62 and 73,344

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Solution

The fourth proportional to 294,960, 442,441.62 and 73,344 is: 110,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,960 : 442,441.62 = 73,344 : x
  2. Step 2: Convert to fraction form
    294,960/442,441.62 = 73,344/x
  3. Step 3: Cross multiply
    294,960x = 442,441.62 × 73,344
  4. Step 4: Simplify right side
    294,960x = 32,450,438,177.28
  5. Step 5: Solve for x
    x = 32,450,438,177.28/294,960
  6. Step 6: Final answer
    x = 110,016.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.