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Finding the Fourth Proportional to 502,977.50, 693,757.61 and 341,552.30

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Solution

The fourth proportional to 502,977.50, 693,757.61 and 341,552.30 is: 471,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,977.50 : 693,757.61 = 341,552.30 : x
  2. Step 2: Convert to fraction form
    502,977.50/693,757.61 = 341,552.30/x
  3. Step 3: Cross multiply
    502,977.50x = 693,757.61 × 341,552.30
  4. Step 4: Simplify right side
    502,977.50x = 236,954,502,161.45
  5. Step 5: Solve for x
    x = 236,954,502,161.45/502,977.50
  6. Step 6: Final answer
    x = 471,103.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.