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Finding the Fourth Proportional to 850,854, 1,174,163.94 and 463,673

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Solution

The fourth proportional to 850,854, 1,174,163.94 and 463,673 is: 639,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,854 : 1,174,163.94 = 463,673 : x
  2. Step 2: Convert to fraction form
    850,854/1,174,163.94 = 463,673/x
  3. Step 3: Cross multiply
    850,854x = 1,174,163.94 × 463,673
  4. Step 4: Simplify right side
    850,854x = 544,428,116,551.62
  5. Step 5: Solve for x
    x = 544,428,116,551.62/850,854
  6. Step 6: Final answer
    x = 639,860.79

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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.