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Finding the Fourth Proportional to 598,480, 825,902.42 and 330,208

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Solution

The fourth proportional to 598,480, 825,902.42 and 330,208 is: 455,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,480 : 825,902.42 = 330,208 : x
  2. Step 2: Convert to fraction form
    598,480/825,902.42 = 330,208/x
  3. Step 3: Cross multiply
    598,480x = 825,902.42 × 330,208
  4. Step 4: Simplify right side
    598,480x = 272,719,586,303.36
  5. Step 5: Solve for x
    x = 272,719,586,303.36/598,480
  6. Step 6: Final answer
    x = 455,687.05

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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.