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Finding the Fourth Proportional to 825,012, 1,137,653.04 and 610,601.76

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Solution

The fourth proportional to 825,012, 1,137,653.04 and 610,601.76 is: 841,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,012 : 1,137,653.04 = 610,601.76 : x
  2. Step 2: Convert to fraction form
    825,012/1,137,653.04 = 610,601.76/x
  3. Step 3: Cross multiply
    825,012x = 1,137,653.04 × 610,601.76
  4. Step 4: Simplify right side
    825,012x = 694,652,948,493.35
  5. Step 5: Solve for x
    x = 694,652,948,493.35/825,012
  6. Step 6: Final answer
    x = 841,991.33

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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.