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Finding the Fourth Proportional to 294,934, 442,402.64 and 73,318

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Solution

The fourth proportional to 294,934, 442,402.64 and 73,318 is: 109,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,934 : 442,402.64 = 73,318 : x
  2. Step 2: Convert to fraction form
    294,934/442,402.64 = 73,318/x
  3. Step 3: Cross multiply
    294,934x = 442,402.64 × 73,318
  4. Step 4: Simplify right side
    294,934x = 32,436,076,759.52
  5. Step 5: Solve for x
    x = 32,436,076,759.52/294,934
  6. Step 6: Final answer
    x = 109,977.41

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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.