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Finding the Fourth Proportional to 520,086.30, 780,238.80 and 295,262.70

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Solution

The fourth proportional to 520,086.30, 780,238.80 and 295,262.70 is: 442,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,086.30 : 780,238.80 = 295,262.70 : x
  2. Step 2: Convert to fraction form
    520,086.30/780,238.80 = 295,262.70/x
  3. Step 3: Cross multiply
    520,086.30x = 780,238.80 × 295,262.70
  4. Step 4: Simplify right side
    520,086.30x = 230,375,414,732.76
  5. Step 5: Solve for x
    x = 230,375,414,732.76/520,086.30
  6. Step 6: Final answer
    x = 442,956.13

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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.