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Finding the Fourth Proportional to 294,468, 441,702 and 72,852

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Solution

The fourth proportional to 294,468, 441,702 and 72,852 is: 109,278

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,468 : 441,702 = 72,852 : x
  2. Step 2: Convert to fraction form
    294,468/441,702 = 72,852/x
  3. Step 3: Cross multiply
    294,468x = 441,702 × 72,852
  4. Step 4: Simplify right side
    294,468x = 32,178,874,104
  5. Step 5: Solve for x
    x = 32,178,874,104/294,468
  6. Step 6: Final answer
    x = 109,278

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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.