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Finding the Fourth Proportional to 520,083.34, 779,687.25 and 253,706.38

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Solution

The fourth proportional to 520,083.34, 779,687.25 and 253,706.38 is: 380,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,083.34 : 779,687.25 = 253,706.38 : x
  2. Step 2: Convert to fraction form
    520,083.34/779,687.25 = 253,706.38/x
  3. Step 3: Cross multiply
    520,083.34x = 779,687.25 × 253,706.38
  4. Step 4: Simplify right side
    520,083.34x = 197,811,629,729.66
  5. Step 5: Solve for x
    x = 197,811,629,729.66/520,083.34
  6. Step 6: Final answer
    x = 380,346.02

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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.