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Finding the Fourth Proportional to 536,298, 804,446.56 and 136,938.84

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Solution

The fourth proportional to 536,298, 804,446.56 and 136,938.84 is: 205,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,298 : 804,446.56 = 136,938.84 : x
  2. Step 2: Convert to fraction form
    536,298/804,446.56 = 136,938.84/x
  3. Step 3: Cross multiply
    536,298x = 804,446.56 × 136,938.84
  4. Step 4: Simplify right side
    536,298x = 110,159,978,768.39
  5. Step 5: Solve for x
    x = 110,159,978,768.39/536,298
  6. Step 6: Final answer
    x = 205,408.15

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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.