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Finding the Fourth Proportional to 497,517.16, 746,268.84 and 297,892.66

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Solution

The fourth proportional to 497,517.16, 746,268.84 and 297,892.66 is: 446,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,517.16 : 746,268.84 = 297,892.66 : x
  2. Step 2: Convert to fraction form
    497,517.16/746,268.84 = 297,892.66/x
  3. Step 3: Cross multiply
    497,517.16x = 746,268.84 × 297,892.66
  4. Step 4: Simplify right side
    497,517.16x = 222,308,009,822.71
  5. Step 5: Solve for x
    x = 222,308,009,822.71/497,517.16
  6. Step 6: Final answer
    x = 446,834.86

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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.