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Finding the Fourth Proportional to 745,769.12, 1,029,163.12 and 406,230.08

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Solution

The fourth proportional to 745,769.12, 1,029,163.12 and 406,230.08 is: 560,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,769.12 : 1,029,163.12 = 406,230.08 : x
  2. Step 2: Convert to fraction form
    745,769.12/1,029,163.12 = 406,230.08/x
  3. Step 3: Cross multiply
    745,769.12x = 1,029,163.12 × 406,230.08
  4. Step 4: Simplify right side
    745,769.12x = 418,077,016,570.65
  5. Step 5: Solve for x
    x = 418,077,016,570.65/745,769.12
  6. Step 6: Final answer
    x = 560,598.46

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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.