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Finding the Fourth Proportional to 598,464, 825,880.32 and 330,192

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Solution

The fourth proportional to 598,464, 825,880.32 and 330,192 is: 455,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,464 : 825,880.32 = 330,192 : x
  2. Step 2: Convert to fraction form
    598,464/825,880.32 = 330,192/x
  3. Step 3: Cross multiply
    598,464x = 825,880.32 × 330,192
  4. Step 4: Simplify right side
    598,464x = 272,699,074,621.44
  5. Step 5: Solve for x
    x = 272,699,074,621.44/598,464
  6. Step 6: Final answer
    x = 455,664.96

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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.