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Finding the Fourth Proportional to 502,298.50, 693,172.20 and 275,958.58

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Solution

The fourth proportional to 502,298.50, 693,172.20 and 275,958.58 is: 380,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,298.50 : 693,172.20 = 275,958.58 : x
  2. Step 2: Convert to fraction form
    502,298.50/693,172.20 = 275,958.58/x
  3. Step 3: Cross multiply
    502,298.50x = 693,172.20 × 275,958.58
  4. Step 4: Simplify right side
    502,298.50x = 191,286,816,007.48
  5. Step 5: Solve for x
    x = 191,286,816,007.48/502,298.50
  6. Step 6: Final answer
    x = 380,822.99

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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.