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Finding the Fourth Proportional to 503,903.92, 755,851.16 and 204,313.30

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Solution

The fourth proportional to 503,903.92, 755,851.16 and 204,313.30 is: 306,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,903.92 : 755,851.16 = 204,313.30 : x
  2. Step 2: Convert to fraction form
    503,903.92/755,851.16 = 204,313.30/x
  3. Step 3: Cross multiply
    503,903.92x = 755,851.16 × 204,313.30
  4. Step 4: Simplify right side
    503,903.92x = 154,430,444,808.43
  5. Step 5: Solve for x
    x = 154,430,444,808.43/503,903.92
  6. Step 6: Final answer
    x = 306,468.04

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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.