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Finding the Fourth Proportional to 457,305.60, 685,958.40 and 431,644.80

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Solution

The fourth proportional to 457,305.60, 685,958.40 and 431,644.80 is: 647,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,305.60 : 685,958.40 = 431,644.80 : x
  2. Step 2: Convert to fraction form
    457,305.60/685,958.40 = 431,644.80/x
  3. Step 3: Cross multiply
    457,305.60x = 685,958.40 × 431,644.80
  4. Step 4: Simplify right side
    457,305.60x = 296,090,376,376.32
  5. Step 5: Solve for x
    x = 296,090,376,376.32/457,305.60
  6. Step 6: Final answer
    x = 647,467.20

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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.