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Finding the Fourth Proportional to 520,070.70, 780,106.05 and 204,537.90

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Solution

The fourth proportional to 520,070.70, 780,106.05 and 204,537.90 is: 306,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,070.70 : 780,106.05 = 204,537.90 : x
  2. Step 2: Convert to fraction form
    520,070.70/780,106.05 = 204,537.90/x
  3. Step 3: Cross multiply
    520,070.70x = 780,106.05 × 204,537.90
  4. Step 4: Simplify right side
    520,070.70x = 159,561,253,244.30
  5. Step 5: Solve for x
    x = 159,561,253,244.30/520,070.70
  6. Step 6: Final answer
    x = 306,806.85

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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.