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Finding the Fourth Proportional to 335,203.50, 462,582.65 and 197,388.42

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Solution

The fourth proportional to 335,203.50, 462,582.65 and 197,388.42 is: 272,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,203.50 : 462,582.65 = 197,388.42 : x
  2. Step 2: Convert to fraction form
    335,203.50/462,582.65 = 197,388.42/x
  3. Step 3: Cross multiply
    335,203.50x = 462,582.65 × 197,388.42
  4. Step 4: Simplify right side
    335,203.50x = 91,308,456,687.53
  5. Step 5: Solve for x
    x = 91,308,456,687.53/335,203.50
  6. Step 6: Final answer
    x = 272,397.08

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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.