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Finding the Fourth Proportional to 728,765.08, 1,005,697.19 and 406,496.05

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Solution

The fourth proportional to 728,765.08, 1,005,697.19 and 406,496.05 is: 560,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,765.08 : 1,005,697.19 = 406,496.05 : x
  2. Step 2: Convert to fraction form
    728,765.08/1,005,697.19 = 406,496.05/x
  3. Step 3: Cross multiply
    728,765.08x = 1,005,697.19 × 406,496.05
  4. Step 4: Simplify right side
    728,765.08x = 408,811,935,231.10
  5. Step 5: Solve for x
    x = 408,811,935,231.10/728,765.08
  6. Step 6: Final answer
    x = 560,965.32

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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.