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Finding the Fourth Proportional to 456,093.98, 683,851.19 and 400,046.64

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Solution

The fourth proportional to 456,093.98, 683,851.19 and 400,046.64 is: 599,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,093.98 : 683,851.19 = 400,046.64 : x
  2. Step 2: Convert to fraction form
    456,093.98/683,851.19 = 400,046.64/x
  3. Step 3: Cross multiply
    456,093.98x = 683,851.19 × 400,046.64
  4. Step 4: Simplify right side
    456,093.98x = 273,572,370,819.50
  5. Step 5: Solve for x
    x = 273,572,370,819.50/456,093.98
  6. Step 6: Final answer
    x = 599,815.79

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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.