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Finding the Fourth Proportional to 521,295.27, 782,057.52 and 296,760.84

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Solution

The fourth proportional to 521,295.27, 782,057.52 and 296,760.84 is: 445,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,295.27 : 782,057.52 = 296,760.84 : x
  2. Step 2: Convert to fraction form
    521,295.27/782,057.52 = 296,760.84/x
  3. Step 3: Cross multiply
    521,295.27x = 782,057.52 × 296,760.84
  4. Step 4: Simplify right side
    521,295.27x = 232,084,041,169.43
  5. Step 5: Solve for x
    x = 232,084,041,169.43/521,295.27
  6. Step 6: Final answer
    x = 445,206.50

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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.