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Finding the Fourth Proportional to 536,492.15, 804,738.52 and 199,489.01

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Solution

The fourth proportional to 536,492.15, 804,738.52 and 199,489.01 is: 299,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,492.15 : 804,738.52 = 199,489.01 : x
  2. Step 2: Convert to fraction form
    536,492.15/804,738.52 = 199,489.01/x
  3. Step 3: Cross multiply
    536,492.15x = 804,738.52 × 199,489.01
  4. Step 4: Simplify right side
    536,492.15x = 160,536,490,293.86
  5. Step 5: Solve for x
    x = 160,536,490,293.86/536,492.15
  6. Step 6: Final answer
    x = 299,233.62

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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.