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Finding the Fourth Proportional to 465,754.61, 642,809.43 and 261,822.33

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Solution

The fourth proportional to 465,754.61, 642,809.43 and 261,822.33 is: 361,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,754.61 : 642,809.43 = 261,822.33 : x
  2. Step 2: Convert to fraction form
    465,754.61/642,809.43 = 261,822.33/x
  3. Step 3: Cross multiply
    465,754.61x = 642,809.43 × 261,822.33
  4. Step 4: Simplify right side
    465,754.61x = 168,301,862,708.57
  5. Step 5: Solve for x
    x = 168,301,862,708.57/465,754.61
  6. Step 6: Final answer
    x = 361,353.08

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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.