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Finding the Fourth Proportional to 520,070.20, 780,105.30 and 204,537.40

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Solution

The fourth proportional to 520,070.20, 780,105.30 and 204,537.40 is: 306,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,070.20 : 780,105.30 = 204,537.40 : x
  2. Step 2: Convert to fraction form
    520,070.20/780,105.30 = 204,537.40/x
  3. Step 3: Cross multiply
    520,070.20x = 780,105.30 × 204,537.40
  4. Step 4: Simplify right side
    520,070.20x = 159,560,709,788.22
  5. Step 5: Solve for x
    x = 159,560,709,788.22/520,070.20
  6. Step 6: Final answer
    x = 306,806.10

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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.