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Finding the Fourth Proportional to 520,097.80, 781,896.30 and 443,115.40

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Solution

The fourth proportional to 520,097.80, 781,896.30 and 443,115.40 is: 666,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,097.80 : 781,896.30 = 443,115.40 : x
  2. Step 2: Convert to fraction form
    520,097.80/781,896.30 = 443,115.40/x
  3. Step 3: Cross multiply
    520,097.80x = 781,896.30 × 443,115.40
  4. Step 4: Simplify right side
    520,097.80x = 346,470,291,733.02
  5. Step 5: Solve for x
    x = 346,470,291,733.02/520,097.80
  6. Step 6: Final answer
    x = 666,163.73

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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.