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Finding the Fourth Proportional to 492,709.30, 739,063.95 and 177,125.20

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Solution

The fourth proportional to 492,709.30, 739,063.95 and 177,125.20 is: 265,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,709.30 : 739,063.95 = 177,125.20 : x
  2. Step 2: Convert to fraction form
    492,709.30/739,063.95 = 177,125.20/x
  3. Step 3: Cross multiply
    492,709.30x = 739,063.95 × 177,125.20
  4. Step 4: Simplify right side
    492,709.30x = 130,906,849,956.54
  5. Step 5: Solve for x
    x = 130,906,849,956.54/492,709.30
  6. Step 6: Final answer
    x = 265,687.80

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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.