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Finding the Fourth Proportional to 728,544.93, 1,005,396.42 and 406,275.45

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Solution

The fourth proportional to 728,544.93, 1,005,396.42 and 406,275.45 is: 560,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,544.93 : 1,005,396.42 = 406,275.45 : x
  2. Step 2: Convert to fraction form
    728,544.93/1,005,396.42 = 406,275.45/x
  3. Step 3: Cross multiply
    728,544.93x = 1,005,396.42 × 406,275.45
  4. Step 4: Simplify right side
    728,544.93x = 408,467,882,963.89
  5. Step 5: Solve for x
    x = 408,467,882,963.89/728,544.93
  6. Step 6: Final answer
    x = 560,662.58

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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.