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Finding the Fourth Proportional to 745,940.40, 1,029,409.56 and 406,408.56

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Solution

The fourth proportional to 745,940.40, 1,029,409.56 and 406,408.56 is: 560,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,940.40 : 1,029,409.56 = 406,408.56 : x
  2. Step 2: Convert to fraction form
    745,940.40/1,029,409.56 = 406,408.56/x
  3. Step 3: Cross multiply
    745,940.40x = 1,029,409.56 × 406,408.56
  4. Step 4: Simplify right side
    745,940.40x = 418,360,856,929.83
  5. Step 5: Solve for x
    x = 418,360,856,929.83/745,940.40
  6. Step 6: Final answer
    x = 560,850.25

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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.