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Finding the Fourth Proportional to 507,983.67, 762,013.80 and 171,025.29

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Solution

The fourth proportional to 507,983.67, 762,013.80 and 171,025.29 is: 256,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,983.67 : 762,013.80 = 171,025.29 : x
  2. Step 2: Convert to fraction form
    507,983.67/762,013.80 = 171,025.29/x
  3. Step 3: Cross multiply
    507,983.67x = 762,013.80 × 171,025.29
  4. Step 4: Simplify right side
    507,983.67x = 130,323,631,129.00
  5. Step 5: Solve for x
    x = 130,323,631,129.00/507,983.67
  6. Step 6: Final answer
    x = 256,550.83

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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.