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Finding the Fourth Proportional to 524,209.70, 786,898.24 and 271,422.32

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Solution

The fourth proportional to 524,209.70, 786,898.24 and 271,422.32 is: 407,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,209.70 : 786,898.24 = 271,422.32 : x
  2. Step 2: Convert to fraction form
    524,209.70/786,898.24 = 271,422.32/x
  3. Step 3: Cross multiply
    524,209.70x = 786,898.24 × 271,422.32
  4. Step 4: Simplify right side
    524,209.70x = 213,581,741,291.67
  5. Step 5: Solve for x
    x = 213,581,741,291.67/524,209.70
  6. Step 6: Final answer
    x = 407,435.69

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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.