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Finding the Fourth Proportional to 294,927, 442,392.12 and 73,311

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Solution

The fourth proportional to 294,927, 442,392.12 and 73,311 is: 109,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,927 : 442,392.12 = 73,311 : x
  2. Step 2: Convert to fraction form
    294,927/442,392.12 = 73,311/x
  3. Step 3: Cross multiply
    294,927x = 442,392.12 × 73,311
  4. Step 4: Simplify right side
    294,927x = 32,432,208,709.32
  5. Step 5: Solve for x
    x = 32,432,208,709.32/294,927
  6. Step 6: Final answer
    x = 109,966.90

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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.