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Finding the Fourth Proportional to 475,067.46, 713,080.98 and 421,383.60

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Solution

The fourth proportional to 475,067.46, 713,080.98 and 421,383.60 is: 632,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,067.46 : 713,080.98 = 421,383.60 : x
  2. Step 2: Convert to fraction form
    475,067.46/713,080.98 = 421,383.60/x
  3. Step 3: Cross multiply
    475,067.46x = 713,080.98 × 421,383.60
  4. Step 4: Simplify right side
    475,067.46x = 300,480,630,443.93
  5. Step 5: Solve for x
    x = 300,480,630,443.93/475,067.46
  6. Step 6: Final answer
    x = 632,500.97

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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.