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Finding the Fourth Proportional to 497,784.26, 746,679.09 and 123,807.26

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Solution

The fourth proportional to 497,784.26, 746,679.09 and 123,807.26 is: 185,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,784.26 : 746,679.09 = 123,807.26 : x
  2. Step 2: Convert to fraction form
    497,784.26/746,679.09 = 123,807.26/x
  3. Step 3: Cross multiply
    497,784.26x = 746,679.09 × 123,807.26
  4. Step 4: Simplify right side
    497,784.26x = 92,444,292,232.19
  5. Step 5: Solve for x
    x = 92,444,292,232.19/497,784.26
  6. Step 6: Final answer
    x = 185,711.56

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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.