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Finding the Fourth Proportional to 778,741, 1,074,662.58 and 421,045

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Solution

The fourth proportional to 778,741, 1,074,662.58 and 421,045 is: 581,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,741 : 1,074,662.58 = 421,045 : x
  2. Step 2: Convert to fraction form
    778,741/1,074,662.58 = 421,045/x
  3. Step 3: Cross multiply
    778,741x = 1,074,662.58 × 421,045
  4. Step 4: Simplify right side
    778,741x = 452,481,305,996.10
  5. Step 5: Solve for x
    x = 452,481,305,996.10/778,741
  6. Step 6: Final answer
    x = 581,042.10

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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.