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Finding the Fourth Proportional to 524,302.50, 784,762.05 and 271,234.47

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Solution

The fourth proportional to 524,302.50, 784,762.05 and 271,234.47 is: 405,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,302.50 : 784,762.05 = 271,234.47 : x
  2. Step 2: Convert to fraction form
    524,302.50/784,762.05 = 271,234.47/x
  3. Step 3: Cross multiply
    524,302.50x = 784,762.05 × 271,234.47
  4. Step 4: Simplify right side
    524,302.50x = 212,854,518,707.86
  5. Step 5: Solve for x
    x = 212,854,518,707.86/524,302.50
  6. Step 6: Final answer
    x = 405,976.55

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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.