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Finding the Fourth Proportional to 728,115.46, 1,004,804 and 405,846

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Solution

The fourth proportional to 728,115.46, 1,004,804 and 405,846 is: 560,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,115.46 : 1,004,804 = 405,846 : x
  2. Step 2: Convert to fraction form
    728,115.46/1,004,804 = 405,846/x
  3. Step 3: Cross multiply
    728,115.46x = 1,004,804 × 405,846
  4. Step 4: Simplify right side
    728,115.46x = 407,795,684,184
  5. Step 5: Solve for x
    x = 407,795,684,184/728,115.46
  6. Step 6: Final answer
    x = 560,070.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.