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Finding the Fourth Proportional to 522,578.44, 784,217.58 and 185,605.48

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Solution

The fourth proportional to 522,578.44, 784,217.58 and 185,605.48 is: 278,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,578.44 : 784,217.58 = 185,605.48 : x
  2. Step 2: Convert to fraction form
    522,578.44/784,217.58 = 185,605.48/x
  3. Step 3: Cross multiply
    522,578.44x = 784,217.58 × 185,605.48
  4. Step 4: Simplify right side
    522,578.44x = 145,555,080,360.34
  5. Step 5: Solve for x
    x = 145,555,080,360.34/522,578.44
  6. Step 6: Final answer
    x = 278,532.50

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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.