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Finding the Fourth Proportional to 331,425.60, 497,138.40 and 305,764.80

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Solution

The fourth proportional to 331,425.60, 497,138.40 and 305,764.80 is: 458,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,425.60 : 497,138.40 = 305,764.80 : x
  2. Step 2: Convert to fraction form
    331,425.60/497,138.40 = 305,764.80/x
  3. Step 3: Cross multiply
    331,425.60x = 497,138.40 × 305,764.80
  4. Step 4: Simplify right side
    331,425.60x = 152,007,423,448.32
  5. Step 5: Solve for x
    x = 152,007,423,448.32/331,425.60
  6. Step 6: Final answer
    x = 458,647.20

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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.