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Finding the Fourth Proportional to 825,664, 1,237,459.84 and 446,569.60

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Solution

The fourth proportional to 825,664, 1,237,459.84 and 446,569.60 is: 669,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,664 : 1,237,459.84 = 446,569.60 : x
  2. Step 2: Convert to fraction form
    825,664/1,237,459.84 = 446,569.60/x
  3. Step 3: Cross multiply
    825,664x = 1,237,459.84 × 446,569.60
  4. Step 4: Simplify right side
    825,664x = 552,611,945,764.86
  5. Step 5: Solve for x
    x = 552,611,945,764.86/825,664
  6. Step 6: Final answer
    x = 669,293.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.