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Finding the Fourth Proportional to 746,010.73, 1,029,494.96 and 406,478.98

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Solution

The fourth proportional to 746,010.73, 1,029,494.96 and 406,478.98 is: 560,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,010.73 : 1,029,494.96 = 406,478.98 : x
  2. Step 2: Convert to fraction form
    746,010.73/1,029,494.96 = 406,478.98/x
  3. Step 3: Cross multiply
    746,010.73x = 1,029,494.96 × 406,478.98
  4. Step 4: Simplify right side
    746,010.73x = 418,468,061,255.94
  5. Step 5: Solve for x
    x = 418,468,061,255.94/746,010.73
  6. Step 6: Final answer
    x = 560,941.08

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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.