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Finding the Fourth Proportional to 463,795.20, 696,153.60 and 227,404.80

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Solution

The fourth proportional to 463,795.20, 696,153.60 and 227,404.80 is: 341,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,795.20 : 696,153.60 = 227,404.80 : x
  2. Step 2: Convert to fraction form
    463,795.20/696,153.60 = 227,404.80/x
  3. Step 3: Cross multiply
    463,795.20x = 696,153.60 × 227,404.80
  4. Step 4: Simplify right side
    463,795.20x = 158,308,670,177.28
  5. Step 5: Solve for x
    x = 158,308,670,177.28/463,795.20
  6. Step 6: Final answer
    x = 341,333.14

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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.