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Finding the Fourth Proportional to 522,809.90, 784,992.45 and 404,614.70

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Solution

The fourth proportional to 522,809.90, 784,992.45 and 404,614.70 is: 607,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,809.90 : 784,992.45 = 404,614.70 : x
  2. Step 2: Convert to fraction form
    522,809.90/784,992.45 = 404,614.70/x
  3. Step 3: Cross multiply
    522,809.90x = 784,992.45 × 404,614.70
  4. Step 4: Simplify right side
    522,809.90x = 317,619,484,659.02
  5. Step 5: Solve for x
    x = 317,619,484,659.02/522,809.90
  6. Step 6: Final answer
    x = 607,523.85

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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.