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Finding the Fourth Proportional to 419,897.60, 629,846.40 and 314,921.60

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Solution

The fourth proportional to 419,897.60, 629,846.40 and 314,921.60 is: 472,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,897.60 : 629,846.40 = 314,921.60 : x
  2. Step 2: Convert to fraction form
    419,897.60/629,846.40 = 314,921.60/x
  3. Step 3: Cross multiply
    419,897.60x = 629,846.40 × 314,921.60
  4. Step 4: Simplify right side
    419,897.60x = 198,352,236,042.24
  5. Step 5: Solve for x
    x = 198,352,236,042.24/419,897.60
  6. Step 6: Final answer
    x = 472,382.40

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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.