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Finding the Fourth Proportional to 536,490.60, 804,735.90 and 204,023.40

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Solution

The fourth proportional to 536,490.60, 804,735.90 and 204,023.40 is: 306,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,490.60 : 804,735.90 = 204,023.40 : x
  2. Step 2: Convert to fraction form
    536,490.60/804,735.90 = 204,023.40/x
  3. Step 3: Cross multiply
    536,490.60x = 804,735.90 × 204,023.40
  4. Step 4: Simplify right side
    536,490.60x = 164,184,954,420.06
  5. Step 5: Solve for x
    x = 164,184,954,420.06/536,490.60
  6. Step 6: Final answer
    x = 306,035.10

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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.