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Finding the Fourth Proportional to 820,178.92, 1,230,661.50 and 446,201.32

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Solution

The fourth proportional to 820,178.92, 1,230,661.50 and 446,201.32 is: 669,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,178.92 : 1,230,661.50 = 446,201.32 : x
  2. Step 2: Convert to fraction form
    820,178.92/1,230,661.50 = 446,201.32/x
  3. Step 3: Cross multiply
    820,178.92x = 1,230,661.50 × 446,201.32
  4. Step 4: Simplify right side
    820,178.92x = 549,122,785,773.18
  5. Step 5: Solve for x
    x = 549,122,785,773.18/820,178.92
  6. Step 6: Final answer
    x = 669,515.85

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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.