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Finding the Fourth Proportional to 598,259.25, 825,597.77 and 329,987.25

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Solution

The fourth proportional to 598,259.25, 825,597.77 and 329,987.25 is: 455,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,259.25 : 825,597.77 = 329,987.25 : x
  2. Step 2: Convert to fraction form
    598,259.25/825,597.77 = 329,987.25/x
  3. Step 3: Cross multiply
    598,259.25x = 825,597.77 × 329,987.25
  4. Step 4: Simplify right side
    598,259.25x = 272,436,736,078.50
  5. Step 5: Solve for x
    x = 272,436,736,078.50/598,259.25
  6. Step 6: Final answer
    x = 455,382.41

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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.