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Finding the Fourth Proportional to 537,725.60, 806,709.92 and 177,895.61

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Solution

The fourth proportional to 537,725.60, 806,709.92 and 177,895.61 is: 266,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,725.60 : 806,709.92 = 177,895.61 : x
  2. Step 2: Convert to fraction form
    537,725.60/806,709.92 = 177,895.61/x
  3. Step 3: Cross multiply
    537,725.60x = 806,709.92 × 177,895.61
  4. Step 4: Simplify right side
    537,725.60x = 143,510,148,388.42
  5. Step 5: Solve for x
    x = 143,510,148,388.42/537,725.60
  6. Step 6: Final answer
    x = 266,883.61

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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.