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Finding the Fourth Proportional to 728,561.68, 1,005,410.56 and 406,275.68

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Solution

The fourth proportional to 728,561.68, 1,005,410.56 and 406,275.68 is: 560,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,561.68 : 1,005,410.56 = 406,275.68 : x
  2. Step 2: Convert to fraction form
    728,561.68/1,005,410.56 = 406,275.68/x
  3. Step 3: Cross multiply
    728,561.68x = 1,005,410.56 × 406,275.68
  4. Step 4: Simplify right side
    728,561.68x = 408,473,858,943.18
  5. Step 5: Solve for x
    x = 408,473,858,943.18/728,561.68
  6. Step 6: Final answer
    x = 560,657.90

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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.