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Finding the Fourth Proportional to 536,254.92, 804,486.06 and 203,805

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Solution

The fourth proportional to 536,254.92, 804,486.06 and 203,805 is: 305,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,254.92 : 804,486.06 = 203,805 : x
  2. Step 2: Convert to fraction form
    536,254.92/804,486.06 = 203,805/x
  3. Step 3: Cross multiply
    536,254.92x = 804,486.06 × 203,805
  4. Step 4: Simplify right side
    536,254.92x = 163,958,281,458.30
  5. Step 5: Solve for x
    x = 163,958,281,458.30/536,254.92
  6. Step 6: Final answer
    x = 305,746.90

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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.