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Finding the Fourth Proportional to 497,516.16, 746,267.34 and 297,891.66

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Solution

The fourth proportional to 497,516.16, 746,267.34 and 297,891.66 is: 446,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,516.16 : 746,267.34 = 297,891.66 : x
  2. Step 2: Convert to fraction form
    497,516.16/746,267.34 = 297,891.66/x
  3. Step 3: Cross multiply
    497,516.16x = 746,267.34 × 297,891.66
  4. Step 4: Simplify right side
    497,516.16x = 222,306,816,716.38
  5. Step 5: Solve for x
    x = 222,306,816,716.38/497,516.16
  6. Step 6: Final answer
    x = 446,833.36

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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.