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Finding the Fourth Proportional to 497,714.25, 746,574.12 and 123,737.25

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Solution

The fourth proportional to 497,714.25, 746,574.12 and 123,737.25 is: 185,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,714.25 : 746,574.12 = 123,737.25 : x
  2. Step 2: Convert to fraction form
    497,714.25/746,574.12 = 123,737.25/x
  3. Step 3: Cross multiply
    497,714.25x = 746,574.12 × 123,737.25
  4. Step 4: Simplify right side
    497,714.25x = 92,379,028,529.97
  5. Step 5: Solve for x
    x = 92,379,028,529.97/497,714.25
  6. Step 6: Final answer
    x = 185,606.56

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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.