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Finding the Fourth Proportional to 475,950.31, 656,566.83 and 312,583.39

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Solution

The fourth proportional to 475,950.31, 656,566.83 and 312,583.39 is: 431,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,950.31 : 656,566.83 = 312,583.39 : x
  2. Step 2: Convert to fraction form
    475,950.31/656,566.83 = 312,583.39/x
  3. Step 3: Cross multiply
    475,950.31x = 656,566.83 × 312,583.39
  4. Step 4: Simplify right side
    475,950.31x = 205,231,883,841.54
  5. Step 5: Solve for x
    x = 205,231,883,841.54/475,950.31
  6. Step 6: Final answer
    x = 431,204.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.