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Finding the Fourth Proportional to 728,891.64, 1,005,871.92 and 406,593.36

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Solution

The fourth proportional to 728,891.64, 1,005,871.92 and 406,593.36 is: 561,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,891.64 : 1,005,871.92 = 406,593.36 : x
  2. Step 2: Convert to fraction form
    728,891.64/1,005,871.92 = 406,593.36/x
  3. Step 3: Cross multiply
    728,891.64x = 1,005,871.92 × 406,593.36
  4. Step 4: Simplify right side
    728,891.64x = 408,980,843,682.45
  5. Step 5: Solve for x
    x = 408,980,843,682.45/728,891.64
  6. Step 6: Final answer
    x = 561,099.65

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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.