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Finding the Fourth Proportional to 411,335.30, 612,508.44 and 396,201.66

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Solution

The fourth proportional to 411,335.30, 612,508.44 and 396,201.66 is: 589,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,335.30 : 612,508.44 = 396,201.66 : x
  2. Step 2: Convert to fraction form
    411,335.30/612,508.44 = 396,201.66/x
  3. Step 3: Cross multiply
    411,335.30x = 612,508.44 × 396,201.66
  4. Step 4: Simplify right side
    411,335.30x = 242,676,860,692.01
  5. Step 5: Solve for x
    x = 242,676,860,692.01/411,335.30
  6. Step 6: Final answer
    x = 589,973.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.