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Finding the Fourth Proportional to 536,257.92, 804,490.56 and 203,808

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Solution

The fourth proportional to 536,257.92, 804,490.56 and 203,808 is: 305,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,257.92 : 804,490.56 = 203,808 : x
  2. Step 2: Convert to fraction form
    536,257.92/804,490.56 = 203,808/x
  3. Step 3: Cross multiply
    536,257.92x = 804,490.56 × 203,808
  4. Step 4: Simplify right side
    536,257.92x = 163,961,612,052.48
  5. Step 5: Solve for x
    x = 163,961,612,052.48/536,257.92
  6. Step 6: Final answer
    x = 305,751.40

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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.