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Finding the Fourth Proportional to 357,401.52, 493,253.46 and 204,453.81

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Solution

The fourth proportional to 357,401.52, 493,253.46 and 204,453.81 is: 282,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,401.52 : 493,253.46 = 204,453.81 : x
  2. Step 2: Convert to fraction form
    357,401.52/493,253.46 = 204,453.81/x
  3. Step 3: Cross multiply
    357,401.52x = 493,253.46 × 204,453.81
  4. Step 4: Simplify right side
    357,401.52x = 100,847,549,192.68
  5. Step 5: Solve for x
    x = 100,847,549,192.68/357,401.52
  6. Step 6: Final answer
    x = 282,168.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.