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Finding the Fourth Proportional to 598,154.94, 825,449.67 and 329,882.94

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Solution

The fourth proportional to 598,154.94, 825,449.67 and 329,882.94 is: 455,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,154.94 : 825,449.67 = 329,882.94 : x
  2. Step 2: Convert to fraction form
    598,154.94/825,449.67 = 329,882.94/x
  3. Step 3: Cross multiply
    598,154.94x = 825,449.67 × 329,882.94
  4. Step 4: Simplify right side
    598,154.94x = 272,301,763,961.63
  5. Step 5: Solve for x
    x = 272,301,763,961.63/598,154.94
  6. Step 6: Final answer
    x = 455,236.17

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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.