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Finding the Fourth Proportional to 335,348, 462,752.16 and 197,505.08

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Solution

The fourth proportional to 335,348, 462,752.16 and 197,505.08 is: 272,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,348 : 462,752.16 = 197,505.08 : x
  2. Step 2: Convert to fraction form
    335,348/462,752.16 = 197,505.08/x
  3. Step 3: Cross multiply
    335,348x = 462,752.16 × 197,505.08
  4. Step 4: Simplify right side
    335,348x = 91,395,902,380.97
  5. Step 5: Solve for x
    x = 91,395,902,380.97/335,348
  6. Step 6: Final answer
    x = 272,540.47

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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.