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Finding the Fourth Proportional to 457,833.20, 686,166.60 and 333,028.40

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Solution

The fourth proportional to 457,833.20, 686,166.60 and 333,028.40 is: 499,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,833.20 : 686,166.60 = 333,028.40 : x
  2. Step 2: Convert to fraction form
    457,833.20/686,166.60 = 333,028.40/x
  3. Step 3: Cross multiply
    457,833.20x = 686,166.60 × 333,028.40
  4. Step 4: Simplify right side
    457,833.20x = 228,512,964,931.44
  5. Step 5: Solve for x
    x = 228,512,964,931.44/457,833.20
  6. Step 6: Final answer
    x = 499,118.38

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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.