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Finding the Fourth Proportional to 536,358.74, 804,870.34 and 311,824.84

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Solution

The fourth proportional to 536,358.74, 804,870.34 and 311,824.84 is: 467,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,358.74 : 804,870.34 = 311,824.84 : x
  2. Step 2: Convert to fraction form
    536,358.74/804,870.34 = 311,824.84/x
  3. Step 3: Cross multiply
    536,358.74x = 804,870.34 × 311,824.84
  4. Step 4: Simplify right side
    536,358.74x = 250,978,564,991.25
  5. Step 5: Solve for x
    x = 250,978,564,991.25/536,358.74
  6. Step 6: Final answer
    x = 467,930.41

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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.