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Finding the Fourth Proportional to 728,698.56, 1,005,605.80 and 406,429.53

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Solution

The fourth proportional to 728,698.56, 1,005,605.80 and 406,429.53 is: 560,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,698.56 : 1,005,605.80 = 406,429.53 : x
  2. Step 2: Convert to fraction form
    728,698.56/1,005,605.80 = 406,429.53/x
  3. Step 3: Cross multiply
    728,698.56x = 1,005,605.80 × 406,429.53
  4. Step 4: Simplify right side
    728,698.56x = 408,707,891,643.20
  5. Step 5: Solve for x
    x = 408,707,891,643.20/728,698.56
  6. Step 6: Final answer
    x = 560,873.75

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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.