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Finding the Fourth Proportional to 457,851.20, 686,193.60 and 333,046.40

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Solution

The fourth proportional to 457,851.20, 686,193.60 and 333,046.40 is: 499,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,851.20 : 686,193.60 = 333,046.40 : x
  2. Step 2: Convert to fraction form
    457,851.20/686,193.60 = 333,046.40/x
  3. Step 3: Cross multiply
    457,851.20x = 686,193.60 × 333,046.40
  4. Step 4: Simplify right side
    457,851.20x = 228,534,308,183.04
  5. Step 5: Solve for x
    x = 228,534,308,183.04/457,851.20
  6. Step 6: Final answer
    x = 499,145.37

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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.