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Finding the Fourth Proportional to 465,828.86, 642,866.63 and 261,943.97

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Solution

The fourth proportional to 465,828.86, 642,866.63 and 261,943.97 is: 361,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,828.86 : 642,866.63 = 261,943.97 : x
  2. Step 2: Convert to fraction form
    465,828.86/642,866.63 = 261,943.97/x
  3. Step 3: Cross multiply
    465,828.86x = 642,866.63 × 261,943.97
  4. Step 4: Simplify right side
    465,828.86x = 168,395,032,718.67
  5. Step 5: Solve for x
    x = 168,395,032,718.67/465,828.86
  6. Step 6: Final answer
    x = 361,495.50

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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.