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Finding the Fourth Proportional to 749,553.75, 1,034,400.78 and 410,022

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Solution

The fourth proportional to 749,553.75, 1,034,400.78 and 410,022 is: 565,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,553.75 : 1,034,400.78 = 410,022 : x
  2. Step 2: Convert to fraction form
    749,553.75/1,034,400.78 = 410,022/x
  3. Step 3: Cross multiply
    749,553.75x = 1,034,400.78 × 410,022
  4. Step 4: Simplify right side
    749,553.75x = 424,127,076,617.16
  5. Step 5: Solve for x
    x = 424,127,076,617.16/749,553.75
  6. Step 6: Final answer
    x = 565,839.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.