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Finding the Fourth Proportional to 520,234.40, 780,034.80 and 204,312.80

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Solution

The fourth proportional to 520,234.40, 780,034.80 and 204,312.80 is: 306,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,234.40 : 780,034.80 = 204,312.80 : x
  2. Step 2: Convert to fraction form
    520,234.40/780,034.80 = 204,312.80/x
  3. Step 3: Cross multiply
    520,234.40x = 780,034.80 × 204,312.80
  4. Step 4: Simplify right side
    520,234.40x = 159,371,094,085.44
  5. Step 5: Solve for x
    x = 159,371,094,085.44/520,234.40
  6. Step 6: Final answer
    x = 306,344.78

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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.